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Finding the Fourth Proportional to 57,141.87, 78,868.89 and 38,022.43

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Solution

The fourth proportional to 57,141.87, 78,868.89 and 38,022.43 is: 52,479.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,141.87 : 78,868.89 = 38,022.43 : x
  2. Step 2: Convert to fraction form
    57,141.87/78,868.89 = 38,022.43/x
  3. Step 3: Cross multiply
    57,141.87x = 78,868.89 × 38,022.43
  4. Step 4: Simplify right side
    57,141.87x = 2,998,786,849.20
  5. Step 5: Solve for x
    x = 2,998,786,849.20/57,141.87
  6. Step 6: Final answer
    x = 52,479.68

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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.