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Finding the Fourth Proportional to 27,893.05, 41,839.58 and 8,171.61

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Solution

The fourth proportional to 27,893.05, 41,839.58 and 8,171.61 is: 12,257.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,893.05 : 41,839.58 = 8,171.61 : x
  2. Step 2: Convert to fraction form
    27,893.05/41,839.58 = 8,171.61/x
  3. Step 3: Cross multiply
    27,893.05x = 41,839.58 × 8,171.61
  4. Step 4: Simplify right side
    27,893.05x = 341,896,595.08
  5. Step 5: Solve for x
    x = 341,896,595.08/27,893.05
  6. Step 6: Final answer
    x = 12,257.41

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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.