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Finding the Fourth Proportional to 57,201.39, 85,822.61 and 34,757.78

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Solution

The fourth proportional to 57,201.39, 85,822.61 and 34,757.78 is: 52,149.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,201.39 : 85,822.61 = 34,757.78 : x
  2. Step 2: Convert to fraction form
    57,201.39/85,822.61 = 34,757.78/x
  3. Step 3: Cross multiply
    57,201.39x = 85,822.61 × 34,757.78
  4. Step 4: Simplify right side
    57,201.39x = 2,983,002,794.50
  5. Step 5: Solve for x
    x = 2,983,002,794.50/57,201.39
  6. Step 6: Final answer
    x = 52,149.13

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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.