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Finding the Fourth Proportional to 82,486.92, 123,723.34 and 26,324.76

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Solution

The fourth proportional to 82,486.92, 123,723.34 and 26,324.76 is: 39,484.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,486.92 : 123,723.34 = 26,324.76 : x
  2. Step 2: Convert to fraction form
    82,486.92/123,723.34 = 26,324.76/x
  3. Step 3: Cross multiply
    82,486.92x = 123,723.34 × 26,324.76
  4. Step 4: Simplify right side
    82,486.92x = 3,256,987,231.90
  5. Step 5: Solve for x
    x = 3,256,987,231.90/82,486.92
  6. Step 6: Final answer
    x = 39,484.89

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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.