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Finding the Fourth Proportional to 71,983.76, 107,996.39 and 22,071.22

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Solution

The fourth proportional to 71,983.76, 107,996.39 and 22,071.22 is: 33,113.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,983.76 : 107,996.39 = 22,071.22 : x
  2. Step 2: Convert to fraction form
    71,983.76/107,996.39 = 22,071.22/x
  3. Step 3: Cross multiply
    71,983.76x = 107,996.39 × 22,071.22
  4. Step 4: Simplify right side
    71,983.76x = 2,383,612,082.90
  5. Step 5: Solve for x
    x = 2,383,612,082.90/71,983.76
  6. Step 6: Final answer
    x = 33,113.19

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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.