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Finding the Fourth Proportional to 57,197.20, 85,844.40 and 25,655.80

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Solution

The fourth proportional to 57,197.20, 85,844.40 and 25,655.80 is: 38,505.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,197.20 : 85,844.40 = 25,655.80 : x
  2. Step 2: Convert to fraction form
    57,197.20/85,844.40 = 25,655.80/x
  3. Step 3: Cross multiply
    57,197.20x = 85,844.40 × 25,655.80
  4. Step 4: Simplify right side
    57,197.20x = 2,202,406,757.52
  5. Step 5: Solve for x
    x = 2,202,406,757.52/57,197.20
  6. Step 6: Final answer
    x = 38,505.50

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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.