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Finding the Fourth Proportional to 80,315.20, 120,472.80 and 38,843.20

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Solution

The fourth proportional to 80,315.20, 120,472.80 and 38,843.20 is: 58,264.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,315.20 : 120,472.80 = 38,843.20 : x
  2. Step 2: Convert to fraction form
    80,315.20/120,472.80 = 38,843.20/x
  3. Step 3: Cross multiply
    80,315.20x = 120,472.80 × 38,843.20
  4. Step 4: Simplify right side
    80,315.20x = 4,679,549,064.96
  5. Step 5: Solve for x
    x = 4,679,549,064.96/80,315.20
  6. Step 6: Final answer
    x = 58,264.80

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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.