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Finding the Fourth Proportional to 71,843.82, 107,778.80 and 29,701.02

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Solution

The fourth proportional to 71,843.82, 107,778.80 and 29,701.02 is: 44,556.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,843.82 : 107,778.80 = 29,701.02 : x
  2. Step 2: Convert to fraction form
    71,843.82/107,778.80 = 29,701.02/x
  3. Step 3: Cross multiply
    71,843.82x = 107,778.80 × 29,701.02
  4. Step 4: Simplify right side
    71,843.82x = 3,201,140,294.38
  5. Step 5: Solve for x
    x = 3,201,140,294.38/71,843.82
  6. Step 6: Final answer
    x = 44,556.93

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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.