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Finding the Fourth Proportional to 80,475.20, 120,568.80 and 38,830.40

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Solution

The fourth proportional to 80,475.20, 120,568.80 and 38,830.40 is: 58,176.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,475.20 : 120,568.80 = 38,830.40 : x
  2. Step 2: Convert to fraction form
    80,475.20/120,568.80 = 38,830.40/x
  3. Step 3: Cross multiply
    80,475.20x = 120,568.80 × 38,830.40
  4. Step 4: Simplify right side
    80,475.20x = 4,681,734,731.52
  5. Step 5: Solve for x
    x = 4,681,734,731.52/80,475.20
  6. Step 6: Final answer
    x = 58,176.12

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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.