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Finding the Fourth Proportional to 38,542.62, 57,813.96 and 10,462.68

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Solution

The fourth proportional to 38,542.62, 57,813.96 and 10,462.68 is: 15,694.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,542.62 : 57,813.96 = 10,462.68 : x
  2. Step 2: Convert to fraction form
    38,542.62/57,813.96 = 10,462.68/x
  3. Step 3: Cross multiply
    38,542.62x = 57,813.96 × 10,462.68
  4. Step 4: Simplify right side
    38,542.62x = 604,888,963.01
  5. Step 5: Solve for x
    x = 604,888,963.01/38,542.62
  6. Step 6: Final answer
    x = 15,694.03

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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.