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Finding the Fourth Proportional to 27,829.33, 41,744.45 and 8,108.97

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Solution

The fourth proportional to 27,829.33, 41,744.45 and 8,108.97 is: 12,163.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,829.33 : 41,744.45 = 8,108.97 : x
  2. Step 2: Convert to fraction form
    27,829.33/41,744.45 = 8,108.97/x
  3. Step 3: Cross multiply
    27,829.33x = 41,744.45 × 8,108.97
  4. Step 4: Simplify right side
    27,829.33x = 338,504,326.04
  5. Step 5: Solve for x
    x = 338,504,326.04/27,829.33
  6. Step 6: Final answer
    x = 12,163.58

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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.