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Finding the Fourth Proportional to 44,511, 61,425.24 and 27,744

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Solution

The fourth proportional to 44,511, 61,425.24 and 27,744 is: 38,286.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,511 : 61,425.24 = 27,744 : x
  2. Step 2: Convert to fraction form
    44,511/61,425.24 = 27,744/x
  3. Step 3: Cross multiply
    44,511x = 61,425.24 × 27,744
  4. Step 4: Simplify right side
    44,511x = 1,704,181,858.56
  5. Step 5: Solve for x
    x = 1,704,181,858.56/44,511
  6. Step 6: Final answer
    x = 38,286.76

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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.