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Finding the Fourth Proportional to 57,872, 86,807.92 and 38,006.90

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Solution

The fourth proportional to 57,872, 86,807.92 and 38,006.90 is: 57,010.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,872 : 86,807.92 = 38,006.90 : x
  2. Step 2: Convert to fraction form
    57,872/86,807.92 = 38,006.90/x
  3. Step 3: Cross multiply
    57,872x = 86,807.92 × 38,006.90
  4. Step 4: Simplify right side
    57,872x = 3,299,299,934.65
  5. Step 5: Solve for x
    x = 3,299,299,934.65/57,872
  6. Step 6: Final answer
    x = 57,010.30

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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.