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Finding the Fourth Proportional to 57,153.30, 85,785.24 and 27,591.90

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Solution

The fourth proportional to 57,153.30, 85,785.24 and 27,591.90 is: 41,414.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,153.30 : 85,785.24 = 27,591.90 : x
  2. Step 2: Convert to fraction form
    57,153.30/85,785.24 = 27,591.90/x
  3. Step 3: Cross multiply
    57,153.30x = 85,785.24 × 27,591.90
  4. Step 4: Simplify right side
    57,153.30x = 2,366,977,763.56
  5. Step 5: Solve for x
    x = 2,366,977,763.56/57,153.30
  6. Step 6: Final answer
    x = 41,414.54

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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.