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Finding the Fourth Proportional to 80,331.20, 120,496.80 and 38,859.20

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Solution

The fourth proportional to 80,331.20, 120,496.80 and 38,859.20 is: 58,288.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,331.20 : 120,496.80 = 38,859.20 : x
  2. Step 2: Convert to fraction form
    80,331.20/120,496.80 = 38,859.20/x
  3. Step 3: Cross multiply
    80,331.20x = 120,496.80 × 38,859.20
  4. Step 4: Simplify right side
    80,331.20x = 4,682,409,250.56
  5. Step 5: Solve for x
    x = 4,682,409,250.56/80,331.20
  6. Step 6: Final answer
    x = 58,288.80

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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.