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Finding the Fourth Proportional to 57,728.38, 86,593.20 and 20,289.52

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Solution

The fourth proportional to 57,728.38, 86,593.20 and 20,289.52 is: 30,434.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,728.38 : 86,593.20 = 20,289.52 : x
  2. Step 2: Convert to fraction form
    57,728.38/86,593.20 = 20,289.52/x
  3. Step 3: Cross multiply
    57,728.38x = 86,593.20 × 20,289.52
  4. Step 4: Simplify right side
    57,728.38x = 1,756,934,463.26
  5. Step 5: Solve for x
    x = 1,756,934,463.26/57,728.38
  6. Step 6: Final answer
    x = 30,434.50

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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.