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Finding the Fourth Proportional to 33,229.50, 49,819.60 and 20,078.83

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Solution

The fourth proportional to 33,229.50, 49,819.60 and 20,078.83 is: 30,103.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,229.50 : 49,819.60 = 20,078.83 : x
  2. Step 2: Convert to fraction form
    33,229.50/49,819.60 = 20,078.83/x
  3. Step 3: Cross multiply
    33,229.50x = 49,819.60 × 20,078.83
  4. Step 4: Simplify right side
    33,229.50x = 1,000,319,279.07
  5. Step 5: Solve for x
    x = 1,000,319,279.07/33,229.50
  6. Step 6: Final answer
    x = 30,103.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.