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Finding the Fourth Proportional to 32,242.14, 48,372.16 and 13,517.78

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Solution

The fourth proportional to 32,242.14, 48,372.16 and 13,517.78 is: 20,280.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,242.14 : 48,372.16 = 13,517.78 : x
  2. Step 2: Convert to fraction form
    32,242.14/48,372.16 = 13,517.78/x
  3. Step 3: Cross multiply
    32,242.14x = 48,372.16 × 13,517.78
  4. Step 4: Simplify right side
    32,242.14x = 653,884,217.00
  5. Step 5: Solve for x
    x = 653,884,217.00/32,242.14
  6. Step 6: Final answer
    x = 20,280.42

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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.