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Finding the Fourth Proportional to 27,789.60, 38,367.56 and 24,800.32

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Solution

The fourth proportional to 27,789.60, 38,367.56 and 24,800.32 is: 34,240.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,789.60 : 38,367.56 = 24,800.32 : x
  2. Step 2: Convert to fraction form
    27,789.60/38,367.56 = 24,800.32/x
  3. Step 3: Cross multiply
    27,789.60x = 38,367.56 × 24,800.32
  4. Step 4: Simplify right side
    27,789.60x = 951,527,765.62
  5. Step 5: Solve for x
    x = 951,527,765.62/27,789.60
  6. Step 6: Final answer
    x = 34,240.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.