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Finding the Fourth Proportional to 80,222.97, 120,332.84 and 27,631.29

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Solution

The fourth proportional to 80,222.97, 120,332.84 and 27,631.29 is: 41,446.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,222.97 : 120,332.84 = 27,631.29 : x
  2. Step 2: Convert to fraction form
    80,222.97/120,332.84 = 27,631.29/x
  3. Step 3: Cross multiply
    80,222.97x = 120,332.84 × 27,631.29
  4. Step 4: Simplify right side
    80,222.97x = 3,324,951,598.56
  5. Step 5: Solve for x
    x = 3,324,951,598.56/80,222.97
  6. Step 6: Final answer
    x = 41,446.38

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1.5x scale

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.