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Finding the Fourth Proportional to 42,740.48, 64,104.24 and 15,032

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Solution

The fourth proportional to 42,740.48, 64,104.24 and 15,032 is: 22,545.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,740.48 : 64,104.24 = 15,032 : x
  2. Step 2: Convert to fraction form
    42,740.48/64,104.24 = 15,032/x
  3. Step 3: Cross multiply
    42,740.48x = 64,104.24 × 15,032
  4. Step 4: Simplify right side
    42,740.48x = 963,614,935.68
  5. Step 5: Solve for x
    x = 963,614,935.68/42,740.48
  6. Step 6: Final answer
    x = 22,545.72

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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.