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Finding the Fourth Proportional to 80,373.97, 120,568.95 and 29,786.50

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Solution

The fourth proportional to 80,373.97, 120,568.95 and 29,786.50 is: 44,682.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,373.97 : 120,568.95 = 29,786.50 : x
  2. Step 2: Convert to fraction form
    80,373.97/120,568.95 = 29,786.50/x
  3. Step 3: Cross multiply
    80,373.97x = 120,568.95 × 29,786.50
  4. Step 4: Simplify right side
    80,373.97x = 3,591,327,029.18
  5. Step 5: Solve for x
    x = 3,591,327,029.18/80,373.97
  6. Step 6: Final answer
    x = 44,682.71

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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.