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Finding the Fourth Proportional to 27,793.28, 38,388.40 and 20,227.62

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Solution

The fourth proportional to 27,793.28, 38,388.40 and 20,227.62 is: 27,938.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,793.28 : 38,388.40 = 20,227.62 : x
  2. Step 2: Convert to fraction form
    27,793.28/38,388.40 = 20,227.62/x
  3. Step 3: Cross multiply
    27,793.28x = 38,388.40 × 20,227.62
  4. Step 4: Simplify right side
    27,793.28x = 776,505,967.61
  5. Step 5: Solve for x
    x = 776,505,967.61/27,793.28
  6. Step 6: Final answer
    x = 27,938.62

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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.