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Finding the Fourth Proportional to 71,824.88, 107,737.32 and 22,576.88

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Solution

The fourth proportional to 71,824.88, 107,737.32 and 22,576.88 is: 33,865.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,824.88 : 107,737.32 = 22,576.88 : x
  2. Step 2: Convert to fraction form
    71,824.88/107,737.32 = 22,576.88/x
  3. Step 3: Cross multiply
    71,824.88x = 107,737.32 × 22,576.88
  4. Step 4: Simplify right side
    71,824.88x = 2,432,372,006.48
  5. Step 5: Solve for x
    x = 2,432,372,006.48/71,824.88
  6. Step 6: Final answer
    x = 33,865.31

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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.