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Finding the Fourth Proportional to 27,708.30, 38,224.17 and 20,142.90

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Solution

The fourth proportional to 27,708.30, 38,224.17 and 20,142.90 is: 27,787.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,708.30 : 38,224.17 = 20,142.90 : x
  2. Step 2: Convert to fraction form
    27,708.30/38,224.17 = 20,142.90/x
  3. Step 3: Cross multiply
    27,708.30x = 38,224.17 × 20,142.90
  4. Step 4: Simplify right side
    27,708.30x = 769,945,633.89
  5. Step 5: Solve for x
    x = 769,945,633.89/27,708.30
  6. Step 6: Final answer
    x = 27,787.55

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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.