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Finding the Fourth Proportional to 29,819.80, 44,729.70 and 22,821.40

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Solution

The fourth proportional to 29,819.80, 44,729.70 and 22,821.40 is: 34,232.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,819.80 : 44,729.70 = 22,821.40 : x
  2. Step 2: Convert to fraction form
    29,819.80/44,729.70 = 22,821.40/x
  3. Step 3: Cross multiply
    29,819.80x = 44,729.70 × 22,821.40
  4. Step 4: Simplify right side
    29,819.80x = 1,020,794,375.58
  5. Step 5: Solve for x
    x = 1,020,794,375.58/29,819.80
  6. Step 6: Final answer
    x = 34,232.10

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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.