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Finding the Fourth Proportional to 27,843.33, 41,766.42 and 8,123.38

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Solution

The fourth proportional to 27,843.33, 41,766.42 and 8,123.38 is: 12,185.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,843.33 : 41,766.42 = 8,123.38 : x
  2. Step 2: Convert to fraction form
    27,843.33/41,766.42 = 8,123.38/x
  3. Step 3: Cross multiply
    27,843.33x = 41,766.42 × 8,123.38
  4. Step 4: Simplify right side
    27,843.33x = 339,284,500.90
  5. Step 5: Solve for x
    x = 339,284,500.90/27,843.33
  6. Step 6: Final answer
    x = 12,185.49

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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.