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Finding the Fourth Proportional to 57,202.20, 85,794.12 and 15,639.48

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Solution

The fourth proportional to 57,202.20, 85,794.12 and 15,639.48 is: 23,456.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,202.20 : 85,794.12 = 15,639.48 : x
  2. Step 2: Convert to fraction form
    57,202.20/85,794.12 = 15,639.48/x
  3. Step 3: Cross multiply
    57,202.20x = 85,794.12 × 15,639.48
  4. Step 4: Simplify right side
    57,202.20x = 1,341,775,423.86
  5. Step 5: Solve for x
    x = 1,341,775,423.86/57,202.20
  6. Step 6: Final answer
    x = 23,456.71

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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.