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Finding the Fourth Proportional to 38,708.64, 53,419.68 and 22,793.76

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Solution

The fourth proportional to 38,708.64, 53,419.68 and 22,793.76 is: 31,456.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,708.64 : 53,419.68 = 22,793.76 : x
  2. Step 2: Convert to fraction form
    38,708.64/53,419.68 = 22,793.76/x
  3. Step 3: Cross multiply
    38,708.64x = 53,419.68 × 22,793.76
  4. Step 4: Simplify right side
    38,708.64x = 1,217,635,365.20
  5. Step 5: Solve for x
    x = 1,217,635,365.20/38,708.64
  6. Step 6: Final answer
    x = 31,456.42

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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.