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Finding the Fourth Proportional to 20,037.78, 30,067.14 and 8,200.34

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Solution

The fourth proportional to 20,037.78, 30,067.14 and 8,200.34 is: 12,304.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,037.78 : 30,067.14 = 8,200.34 : x
  2. Step 2: Convert to fraction form
    20,037.78/30,067.14 = 8,200.34/x
  3. Step 3: Cross multiply
    20,037.78x = 30,067.14 × 8,200.34
  4. Step 4: Simplify right side
    20,037.78x = 246,560,620.49
  5. Step 5: Solve for x
    x = 246,560,620.49/20,037.78
  6. Step 6: Final answer
    x = 12,304.79

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1.5x scale

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.