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Finding the Fourth Proportional to 71,899.89, 107,838.15 and 33,949.09

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Solution

The fourth proportional to 71,899.89, 107,838.15 and 33,949.09 is: 50,918.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,899.89 : 107,838.15 = 33,949.09 : x
  2. Step 2: Convert to fraction form
    71,899.89/107,838.15 = 33,949.09/x
  3. Step 3: Cross multiply
    71,899.89x = 107,838.15 × 33,949.09
  4. Step 4: Simplify right side
    71,899.89x = 3,661,006,790.19
  5. Step 5: Solve for x
    x = 3,661,006,790.19/71,899.89
  6. Step 6: Final answer
    x = 50,918.11

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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.