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Finding the Fourth Proportional to 49,449.89, 68,239.26 and 27,940.44

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Solution

The fourth proportional to 49,449.89, 68,239.26 and 27,940.44 is: 38,556.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,449.89 : 68,239.26 = 27,940.44 : x
  2. Step 2: Convert to fraction form
    49,449.89/68,239.26 = 27,940.44/x
  3. Step 3: Cross multiply
    49,449.89x = 68,239.26 × 27,940.44
  4. Step 4: Simplify right side
    49,449.89x = 1,906,635,205.57
  5. Step 5: Solve for x
    x = 1,906,635,205.57/49,449.89
  6. Step 6: Final answer
    x = 38,556.91

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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.