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Finding the Fourth Proportional to 82,459.67, 123,701.67 and 29,856.87

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Solution

The fourth proportional to 82,459.67, 123,701.67 and 29,856.87 is: 44,789.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,459.67 : 123,701.67 = 29,856.87 : x
  2. Step 2: Convert to fraction form
    82,459.67/123,701.67 = 29,856.87/x
  3. Step 3: Cross multiply
    82,459.67x = 123,701.67 × 29,856.87
  4. Step 4: Simplify right side
    82,459.67x = 3,693,344,679.97
  5. Step 5: Solve for x
    x = 3,693,344,679.97/82,459.67
  6. Step 6: Final answer
    x = 44,789.71

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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.