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Finding the Fourth Proportional to 57,197.70, 85,845.15 and 25,656.30

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Solution

The fourth proportional to 57,197.70, 85,845.15 and 25,656.30 is: 38,506.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,197.70 : 85,845.15 = 25,656.30 : x
  2. Step 2: Convert to fraction form
    57,197.70/85,845.15 = 25,656.30/x
  3. Step 3: Cross multiply
    57,197.70x = 85,845.15 × 25,656.30
  4. Step 4: Simplify right side
    57,197.70x = 2,202,468,921.95
  5. Step 5: Solve for x
    x = 2,202,468,921.95/57,197.70
  6. Step 6: Final answer
    x = 38,506.25

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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.