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Finding the Fourth Proportional to 71,933.28, 107,912.88 and 22,012.48

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Solution

The fourth proportional to 71,933.28, 107,912.88 and 22,012.48 is: 33,022.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,933.28 : 107,912.88 = 22,012.48 : x
  2. Step 2: Convert to fraction form
    71,933.28/107,912.88 = 22,012.48/x
  3. Step 3: Cross multiply
    71,933.28x = 107,912.88 × 22,012.48
  4. Step 4: Simplify right side
    71,933.28x = 2,375,430,112.74
  5. Step 5: Solve for x
    x = 2,375,430,112.74/71,933.28
  6. Step 6: Final answer
    x = 33,022.69

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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.