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Finding the Fourth Proportional to 27,781.56, 38,338.27 and 15,034.47

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Solution

The fourth proportional to 27,781.56, 38,338.27 and 15,034.47 is: 20,747.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,781.56 : 38,338.27 = 15,034.47 : x
  2. Step 2: Convert to fraction form
    27,781.56/38,338.27 = 15,034.47/x
  3. Step 3: Cross multiply
    27,781.56x = 38,338.27 × 15,034.47
  4. Step 4: Simplify right side
    27,781.56x = 576,395,570.17
  5. Step 5: Solve for x
    x = 576,395,570.17/27,781.56
  6. Step 6: Final answer
    x = 20,747.42

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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.