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Finding the Fourth Proportional to 80,422.40, 120,633.60 and 33,670.40

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Solution

The fourth proportional to 80,422.40, 120,633.60 and 33,670.40 is: 50,505.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,422.40 : 120,633.60 = 33,670.40 : x
  2. Step 2: Convert to fraction form
    80,422.40/120,633.60 = 33,670.40/x
  3. Step 3: Cross multiply
    80,422.40x = 120,633.60 × 33,670.40
  4. Step 4: Simplify right side
    80,422.40x = 4,061,781,565.44
  5. Step 5: Solve for x
    x = 4,061,781,565.44/80,422.40
  6. Step 6: Final answer
    x = 50,505.60

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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.