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Finding the Fourth Proportional to 67,844.80, 101,815.80 and 38,231.20

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Solution

The fourth proportional to 67,844.80, 101,815.80 and 38,231.20 is: 57,374.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,844.80 : 101,815.80 = 38,231.20 : x
  2. Step 2: Convert to fraction form
    67,844.80/101,815.80 = 38,231.20/x
  3. Step 3: Cross multiply
    67,844.80x = 101,815.80 × 38,231.20
  4. Step 4: Simplify right side
    67,844.80x = 3,892,540,212.96
  5. Step 5: Solve for x
    x = 3,892,540,212.96/67,844.80
  6. Step 6: Final answer
    x = 57,374.19

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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.