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Finding the Fourth Proportional to 27,891.27, 41,836.37 and 8,169.39

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Solution

The fourth proportional to 27,891.27, 41,836.37 and 8,169.39 is: 12,253.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,891.27 : 41,836.37 = 8,169.39 : x
  2. Step 2: Convert to fraction form
    27,891.27/41,836.37 = 8,169.39/x
  3. Step 3: Cross multiply
    27,891.27x = 41,836.37 × 8,169.39
  4. Step 4: Simplify right side
    27,891.27x = 341,777,581.87
  5. Step 5: Solve for x
    x = 341,777,581.87/27,891.27
  6. Step 6: Final answer
    x = 12,253.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.