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Finding the Fourth Proportional to 82,481.67, 123,722.46 and 29,891.07

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Solution

The fourth proportional to 82,481.67, 123,722.46 and 29,891.07 is: 44,836.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,481.67 : 123,722.46 = 29,891.07 : x
  2. Step 2: Convert to fraction form
    82,481.67/123,722.46 = 29,891.07/x
  3. Step 3: Cross multiply
    82,481.67x = 123,722.46 × 29,891.07
  4. Step 4: Simplify right side
    82,481.67x = 3,698,196,712.43
  5. Step 5: Solve for x
    x = 3,698,196,712.43/82,481.67
  6. Step 6: Final answer
    x = 44,836.59

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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.