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Finding the Fourth Proportional to 57,614.50, 86,432.46 and 20,173.78

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Solution

The fourth proportional to 57,614.50, 86,432.46 and 20,173.78 is: 30,264.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,614.50 : 86,432.46 = 20,173.78 : x
  2. Step 2: Convert to fraction form
    57,614.50/86,432.46 = 20,173.78/x
  3. Step 3: Cross multiply
    57,614.50x = 86,432.46 × 20,173.78
  4. Step 4: Simplify right side
    57,614.50x = 1,743,669,432.90
  5. Step 5: Solve for x
    x = 1,743,669,432.90/57,614.50
  6. Step 6: Final answer
    x = 30,264.42

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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.