Finding the Fourth Proportional to 30,944,316.09, 46,418,015.91 and 11,776,558.71
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Solution
The fourth proportional to 30,944,316.09, 46,418,015.91 and 11,776,558.71 is: 17,665,424.82
Step by Step Solution
- Step 1: Write the proportion equation
30,944,316.09 : 46,418,015.91 = 11,776,558.71 : x - Step 2: Convert to fraction form
30,944,316.09/46,418,015.91 = 11,776,558.71/x - Step 3: Cross multiply
30,944,316.09x = 46,418,015.91 × 11,776,558.71 - Step 4: Simplify right side
30,944,316.09x = 546,644,489,565,829.06 - Step 5: Solve for x
x = 546,644,489,565,829.06/30,944,316.09 - Step 6: Final answer
x = 17,665,424.82
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.