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Finding the Fourth Proportional to 27,781.37, 38,338.22 and 15,034.50

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Solution

The fourth proportional to 27,781.37, 38,338.22 and 15,034.50 is: 20,747.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,781.37 : 38,338.22 = 15,034.50 : x
  2. Step 2: Convert to fraction form
    27,781.37/38,338.22 = 15,034.50/x
  3. Step 3: Cross multiply
    27,781.37x = 38,338.22 × 15,034.50
  4. Step 4: Simplify right side
    27,781.37x = 576,395,893.42
  5. Step 5: Solve for x
    x = 576,395,893.42/27,781.37
  6. Step 6: Final answer
    x = 20,747.57

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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.