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Finding the Fourth Proportional to 57,198.70, 85,846.65 and 25,657.30

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Solution

The fourth proportional to 57,198.70, 85,846.65 and 25,657.30 is: 38,507.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,198.70 : 85,846.65 = 25,657.30 : x
  2. Step 2: Convert to fraction form
    57,198.70/85,846.65 = 25,657.30/x
  3. Step 3: Cross multiply
    57,198.70x = 85,846.65 × 25,657.30
  4. Step 4: Simplify right side
    57,198.70x = 2,202,593,253.05
  5. Step 5: Solve for x
    x = 2,202,593,253.05/57,198.70
  6. Step 6: Final answer
    x = 38,507.75

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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.