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Finding the Fourth Proportional to 81,769.86, 112,843.41 and 49,504.04

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Solution

The fourth proportional to 81,769.86, 112,843.41 and 49,504.04 is: 68,316.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,769.86 : 112,843.41 = 49,504.04 : x
  2. Step 2: Convert to fraction form
    81,769.86/112,843.41 = 49,504.04/x
  3. Step 3: Cross multiply
    81,769.86x = 112,843.41 × 49,504.04
  4. Step 4: Simplify right side
    81,769.86x = 5,586,204,682.38
  5. Step 5: Solve for x
    x = 5,586,204,682.38/81,769.86
  6. Step 6: Final answer
    x = 68,316.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.