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Finding the Fourth Proportional to 71,982.01, 107,993.76 and 22,069.47

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Solution

The fourth proportional to 71,982.01, 107,993.76 and 22,069.47 is: 33,110.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,982.01 : 107,993.76 = 22,069.47 : x
  2. Step 2: Convert to fraction form
    71,982.01/107,993.76 = 22,069.47/x
  3. Step 3: Cross multiply
    71,982.01x = 107,993.76 × 22,069.47
  4. Step 4: Simplify right side
    71,982.01x = 2,383,365,129.27
  5. Step 5: Solve for x
    x = 2,383,365,129.27/71,982.01
  6. Step 6: Final answer
    x = 33,110.57

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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.