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Finding the Fourth Proportional to 80,793.30, 121,245.31 and 28,202.78

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Solution

The fourth proportional to 80,793.30, 121,245.31 and 28,202.78 is: 42,323.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,793.30 : 121,245.31 = 28,202.78 : x
  2. Step 2: Convert to fraction form
    80,793.30/121,245.31 = 28,202.78/x
  3. Step 3: Cross multiply
    80,793.30x = 121,245.31 × 28,202.78
  4. Step 4: Simplify right side
    80,793.30x = 3,419,454,983.69
  5. Step 5: Solve for x
    x = 3,419,454,983.69/80,793.30
  6. Step 6: Final answer
    x = 42,323.50

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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.