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Finding the Fourth Proportional to 71,946.10, 107,909.70 and 22,031.20

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Solution

The fourth proportional to 71,946.10, 107,909.70 and 22,031.20 is: 33,043.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,946.10 : 107,909.70 = 22,031.20 : x
  2. Step 2: Convert to fraction form
    71,946.10/107,909.70 = 22,031.20/x
  3. Step 3: Cross multiply
    71,946.10x = 107,909.70 × 22,031.20
  4. Step 4: Simplify right side
    71,946.10x = 2,377,380,182.64
  5. Step 5: Solve for x
    x = 2,377,380,182.64/71,946.10
  6. Step 6: Final answer
    x = 33,043.91

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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.