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Finding the Fourth Proportional to 27,781.54, 38,338.23 and 15,034.44

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Solution

The fourth proportional to 27,781.54, 38,338.23 and 15,034.44 is: 20,747.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,781.54 : 38,338.23 = 15,034.44 : x
  2. Step 2: Convert to fraction form
    27,781.54/38,338.23 = 15,034.44/x
  3. Step 3: Cross multiply
    27,781.54x = 38,338.23 × 15,034.44
  4. Step 4: Simplify right side
    27,781.54x = 576,393,862.34
  5. Step 5: Solve for x
    x = 576,393,862.34/27,781.54
  6. Step 6: Final answer
    x = 20,747.37

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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.