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Finding the Fourth Proportional to 38,591.20, 57,865.20 and 16,400.80

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Solution

The fourth proportional to 38,591.20, 57,865.20 and 16,400.80 is: 24,592.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,591.20 : 57,865.20 = 16,400.80 : x
  2. Step 2: Convert to fraction form
    38,591.20/57,865.20 = 16,400.80/x
  3. Step 3: Cross multiply
    38,591.20x = 57,865.20 × 16,400.80
  4. Step 4: Simplify right side
    38,591.20x = 949,035,572.16
  5. Step 5: Solve for x
    x = 949,035,572.16/38,591.20
  6. Step 6: Final answer
    x = 24,592.02

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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.