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Finding the Fourth Proportional to 22,459.50, 33,689.12 and 5,819.49

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Solution

The fourth proportional to 22,459.50, 33,689.12 and 5,819.49 is: 8,729.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,459.50 : 33,689.12 = 5,819.49 : x
  2. Step 2: Convert to fraction form
    22,459.50/33,689.12 = 5,819.49/x
  3. Step 3: Cross multiply
    22,459.50x = 33,689.12 × 5,819.49
  4. Step 4: Simplify right side
    22,459.50x = 196,053,467.85
  5. Step 5: Solve for x
    x = 196,053,467.85/22,459.50
  6. Step 6: Final answer
    x = 8,729.20

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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.