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Finding the Fourth Proportional to 80,267.48, 120,380.70 and 32,915.96

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Solution

The fourth proportional to 80,267.48, 120,380.70 and 32,915.96 is: 49,365.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,267.48 : 120,380.70 = 32,915.96 : x
  2. Step 2: Convert to fraction form
    80,267.48/120,380.70 = 32,915.96/x
  3. Step 3: Cross multiply
    80,267.48x = 120,380.70 × 32,915.96
  4. Step 4: Simplify right side
    80,267.48x = 3,962,446,305.97
  5. Step 5: Solve for x
    x = 3,962,446,305.97/80,267.48
  6. Step 6: Final answer
    x = 49,365.53

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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.