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Finding the Fourth Proportional to 27,410.91, 41,083.25 and 13,349.87

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Solution

The fourth proportional to 27,410.91, 41,083.25 and 13,349.87 is: 20,008.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,410.91 : 41,083.25 = 13,349.87 : x
  2. Step 2: Convert to fraction form
    27,410.91/41,083.25 = 13,349.87/x
  3. Step 3: Cross multiply
    27,410.91x = 41,083.25 × 13,349.87
  4. Step 4: Simplify right side
    27,410.91x = 548,456,046.68
  5. Step 5: Solve for x
    x = 548,456,046.68/27,410.91
  6. Step 6: Final answer
    x = 20,008.68

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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.