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Finding the Fourth Proportional to 31,843.20, 47,764.80 and 20,169.60

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Solution

The fourth proportional to 31,843.20, 47,764.80 and 20,169.60 is: 30,254.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,843.20 : 47,764.80 = 20,169.60 : x
  2. Step 2: Convert to fraction form
    31,843.20/47,764.80 = 20,169.60/x
  3. Step 3: Cross multiply
    31,843.20x = 47,764.80 × 20,169.60
  4. Step 4: Simplify right side
    31,843.20x = 963,396,910.08
  5. Step 5: Solve for x
    x = 963,396,910.08/31,843.20
  6. Step 6: Final answer
    x = 30,254.40

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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.