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Finding the Fourth Proportional to 71,998.84, 107,974.79 and 34,044.36

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Solution

The fourth proportional to 71,998.84, 107,974.79 and 34,044.36 is: 51,055.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,998.84 : 107,974.79 = 34,044.36 : x
  2. Step 2: Convert to fraction form
    71,998.84/107,974.79 = 34,044.36/x
  3. Step 3: Cross multiply
    71,998.84x = 107,974.79 × 34,044.36
  4. Step 4: Simplify right side
    71,998.84x = 3,675,932,621.68
  5. Step 5: Solve for x
    x = 3,675,932,621.68/71,998.84
  6. Step 6: Final answer
    x = 51,055.44

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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.