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Finding the Fourth Proportional to 80,434.40, 120,680.40 and 33,701.60

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Solution

The fourth proportional to 80,434.40, 120,680.40 and 33,701.60 is: 50,564.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,434.40 : 120,680.40 = 33,701.60 : x
  2. Step 2: Convert to fraction form
    80,434.40/120,680.40 = 33,701.60/x
  3. Step 3: Cross multiply
    80,434.40x = 120,680.40 × 33,701.60
  4. Step 4: Simplify right side
    80,434.40x = 4,067,122,568.64
  5. Step 5: Solve for x
    x = 4,067,122,568.64/80,434.40
  6. Step 6: Final answer
    x = 50,564.47

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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.