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Finding the Fourth Proportional to 71,976.78, 107,968.41 and 22,053.24

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Solution

The fourth proportional to 71,976.78, 107,968.41 and 22,053.24 is: 33,080.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,976.78 : 107,968.41 = 22,053.24 : x
  2. Step 2: Convert to fraction form
    71,976.78/107,968.41 = 22,053.24/x
  3. Step 3: Cross multiply
    71,976.78x = 107,968.41 × 22,053.24
  4. Step 4: Simplify right side
    71,976.78x = 2,381,053,258.15
  5. Step 5: Solve for x
    x = 2,381,053,258.15/71,976.78
  6. Step 6: Final answer
    x = 33,080.85

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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.