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Finding the Fourth Proportional to 82,480.30, 123,704.65 and 35,121.49

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Solution

The fourth proportional to 82,480.30, 123,704.65 and 35,121.49 is: 52,675.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,480.30 : 123,704.65 = 35,121.49 : x
  2. Step 2: Convert to fraction form
    82,480.30/123,704.65 = 35,121.49/x
  3. Step 3: Cross multiply
    82,480.30x = 123,704.65 × 35,121.49
  4. Step 4: Simplify right side
    82,480.30x = 4,344,690,833.80
  5. Step 5: Solve for x
    x = 4,344,690,833.80/82,480.30
  6. Step 6: Final answer
    x = 52,675.50

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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.