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Finding the Fourth Proportional to 80,470.80, 120,705.60 and 24,310.80

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Solution

The fourth proportional to 80,470.80, 120,705.60 and 24,310.80 is: 36,466.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,470.80 : 120,705.60 = 24,310.80 : x
  2. Step 2: Convert to fraction form
    80,470.80/120,705.60 = 24,310.80/x
  3. Step 3: Cross multiply
    80,470.80x = 120,705.60 × 24,310.80
  4. Step 4: Simplify right side
    80,470.80x = 2,934,449,700.48
  5. Step 5: Solve for x
    x = 2,934,449,700.48/80,470.80
  6. Step 6: Final answer
    x = 36,466.02

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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.