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Finding the Fourth Proportional to 71,934.30, 107,914.42 and 22,013.46

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Solution

The fourth proportional to 71,934.30, 107,914.42 and 22,013.46 is: 33,024.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,934.30 : 107,914.42 = 22,013.46 : x
  2. Step 2: Convert to fraction form
    71,934.30/107,914.42 = 22,013.46/x
  3. Step 3: Cross multiply
    71,934.30x = 107,914.42 × 22,013.46
  4. Step 4: Simplify right side
    71,934.30x = 2,375,569,768.09
  5. Step 5: Solve for x
    x = 2,375,569,768.09/71,934.30
  6. Step 6: Final answer
    x = 33,024.16

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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.