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Finding the Fourth Proportional to 82,213.60, 123,352.80 and 32,285.20

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Solution

The fourth proportional to 82,213.60, 123,352.80 and 32,285.20 is: 48,440.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,213.60 : 123,352.80 = 32,285.20 : x
  2. Step 2: Convert to fraction form
    82,213.60/123,352.80 = 32,285.20/x
  3. Step 3: Cross multiply
    82,213.60x = 123,352.80 × 32,285.20
  4. Step 4: Simplify right side
    82,213.60x = 3,982,469,818.56
  5. Step 5: Solve for x
    x = 3,982,469,818.56/82,213.60
  6. Step 6: Final answer
    x = 48,440.52

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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.