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Finding the Fourth Proportional to 52,098.52, 71,899.55 and 31,688.54

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Solution

The fourth proportional to 52,098.52, 71,899.55 and 31,688.54 is: 43,732.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,098.52 : 71,899.55 = 31,688.54 : x
  2. Step 2: Convert to fraction form
    52,098.52/71,899.55 = 31,688.54/x
  3. Step 3: Cross multiply
    52,098.52x = 71,899.55 × 31,688.54
  4. Step 4: Simplify right side
    52,098.52x = 2,278,391,838.89
  5. Step 5: Solve for x
    x = 2,278,391,838.89/52,098.52
  6. Step 6: Final answer
    x = 43,732.37

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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.