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Finding the Fourth Proportional to 33,940.80, 50,949.60 and 20,097.60

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Solution

The fourth proportional to 33,940.80, 50,949.60 and 20,097.60 is: 30,169.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,940.80 : 50,949.60 = 20,097.60 : x
  2. Step 2: Convert to fraction form
    33,940.80/50,949.60 = 20,097.60/x
  3. Step 3: Cross multiply
    33,940.80x = 50,949.60 × 20,097.60
  4. Step 4: Simplify right side
    33,940.80x = 1,023,964,680.96
  5. Step 5: Solve for x
    x = 1,023,964,680.96/33,940.80
  6. Step 6: Final answer
    x = 30,169.14

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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.