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Finding the Fourth Proportional to 52,098.76, 71,892.10 and 29,439.72

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Solution

The fourth proportional to 52,098.76, 71,892.10 and 29,439.72 is: 40,624.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,098.76 : 71,892.10 = 29,439.72 : x
  2. Step 2: Convert to fraction form
    52,098.76/71,892.10 = 29,439.72/x
  3. Step 3: Cross multiply
    52,098.76x = 71,892.10 × 29,439.72
  4. Step 4: Simplify right side
    52,098.76x = 2,116,483,294.21
  5. Step 5: Solve for x
    x = 2,116,483,294.21/52,098.76
  6. Step 6: Final answer
    x = 40,624.45

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.