The answer is: " x = 75 units ".
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Explanation:
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Set up the follow ratios, or proportions, as fractions:
x/ 63 = 50/42; Solve for "x" ;
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→ Reduce the "50/42" ; " 50/42" = (50÷2) / (42÷2) = 25/21 .
Rewrite: " x / 63 = 25 / 21 " .
Cross multiply: Given: "a/b = c/d " ; "ad = bc" ;
Thus, "21x = (63) * (25) ;
Divide each side of the equation by "21" ; to isolate "x" on one side of the equation; and to solve for x" ;
" 21x / 21 = [ 63 * 25 ] / 21 " ;
Note: "63/21 = 3 " ;
So: x = 3 * 25 ;
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x = 75 .
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The answer is: " x = 75 units ".
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