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Finding the Fourth Proportional to 38,600.80, 57,814.80 and 29,807.20

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Solution

The fourth proportional to 38,600.80, 57,814.80 and 29,807.20 is: 44,644.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,600.80 : 57,814.80 = 29,807.20 : x
  2. Step 2: Convert to fraction form
    38,600.80/57,814.80 = 29,807.20/x
  3. Step 3: Cross multiply
    38,600.80x = 57,814.80 × 29,807.20
  4. Step 4: Simplify right side
    38,600.80x = 1,723,297,306.56
  5. Step 5: Solve for x
    x = 1,723,297,306.56/38,600.80
  6. Step 6: Final answer
    x = 44,644.08

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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.