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Finding the Fourth Proportional to 71,982.22, 107,988.80 and 22,065.76

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Solution

The fourth proportional to 71,982.22, 107,988.80 and 22,065.76 is: 33,103.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,982.22 : 107,988.80 = 22,065.76 : x
  2. Step 2: Convert to fraction form
    71,982.22/107,988.80 = 22,065.76/x
  3. Step 3: Cross multiply
    71,982.22x = 107,988.80 × 22,065.76
  4. Step 4: Simplify right side
    71,982.22x = 2,382,854,943.49
  5. Step 5: Solve for x
    x = 2,382,854,943.49/71,982.22
  6. Step 6: Final answer
    x = 33,103.38

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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.