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Finding the Fourth Proportional to 33,829.80, 50,744.70 and 22,770.60

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Solution

The fourth proportional to 33,829.80, 50,744.70 and 22,770.60 is: 34,155.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,829.80 : 50,744.70 = 22,770.60 : x
  2. Step 2: Convert to fraction form
    33,829.80/50,744.70 = 22,770.60/x
  3. Step 3: Cross multiply
    33,829.80x = 50,744.70 × 22,770.60
  4. Step 4: Simplify right side
    33,829.80x = 1,155,487,265.82
  5. Step 5: Solve for x
    x = 1,155,487,265.82/33,829.80
  6. Step 6: Final answer
    x = 34,155.90

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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.