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Finding the Fourth Proportional to 57,645.32, 86,421.02 and 38,689.50

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Solution

The fourth proportional to 57,645.32, 86,421.02 and 38,689.50 is: 58,002.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,645.32 : 86,421.02 = 38,689.50 : x
  2. Step 2: Convert to fraction form
    57,645.32/86,421.02 = 38,689.50/x
  3. Step 3: Cross multiply
    57,645.32x = 86,421.02 × 38,689.50
  4. Step 4: Simplify right side
    57,645.32x = 3,343,586,053.29
  5. Step 5: Solve for x
    x = 3,343,586,053.29/57,645.32
  6. Step 6: Final answer
    x = 58,002.73

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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.