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Finding the Fourth Proportional to 39,098.43, 58,614.84 and 31,684.50

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Solution

The fourth proportional to 39,098.43, 58,614.84 and 31,684.50 is: 47,500.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,098.43 : 58,614.84 = 31,684.50 : x
  2. Step 2: Convert to fraction form
    39,098.43/58,614.84 = 31,684.50/x
  3. Step 3: Cross multiply
    39,098.43x = 58,614.84 × 31,684.50
  4. Step 4: Simplify right side
    39,098.43x = 1,857,181,897.98
  5. Step 5: Solve for x
    x = 1,857,181,897.98/39,098.43
  6. Step 6: Final answer
    x = 47,500.17

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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.