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Finding the Fourth Proportional to 80,327.80, 120,470.10 and 24,167.80

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Solution

The fourth proportional to 80,327.80, 120,470.10 and 24,167.80 is: 36,245.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,327.80 : 120,470.10 = 24,167.80 : x
  2. Step 2: Convert to fraction form
    80,327.80/120,470.10 = 24,167.80/x
  3. Step 3: Cross multiply
    80,327.80x = 120,470.10 × 24,167.80
  4. Step 4: Simplify right side
    80,327.80x = 2,911,497,282.78
  5. Step 5: Solve for x
    x = 2,911,497,282.78/80,327.80
  6. Step 6: Final answer
    x = 36,245.20

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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.