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Finding the Fourth Proportional to 71,989.80, 108,005.46 and 22,077.27

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Solution

The fourth proportional to 71,989.80, 108,005.46 and 22,077.27 is: 33,122.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,989.80 : 108,005.46 = 22,077.27 : x
  2. Step 2: Convert to fraction form
    71,989.80/108,005.46 = 22,077.27/x
  3. Step 3: Cross multiply
    71,989.80x = 108,005.46 × 22,077.27
  4. Step 4: Simplify right side
    71,989.80x = 2,384,465,701.89
  5. Step 5: Solve for x
    x = 2,384,465,701.89/71,989.80
  6. Step 6: Final answer
    x = 33,122.27

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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.