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Finding the Fourth Proportional to 52,517.68, 78,791.78 and 16,978.24

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Solution

The fourth proportional to 52,517.68, 78,791.78 and 16,978.24 is: 25,472.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,517.68 : 78,791.78 = 16,978.24 : x
  2. Step 2: Convert to fraction form
    52,517.68/78,791.78 = 16,978.24/x
  3. Step 3: Cross multiply
    52,517.68x = 78,791.78 × 16,978.24
  4. Step 4: Simplify right side
    52,517.68x = 1,337,745,750.87
  5. Step 5: Solve for x
    x = 1,337,745,750.87/52,517.68
  6. Step 6: Final answer
    x = 25,472.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.