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Finding the Fourth Proportional to 49,343.86, 68,091.92 and 27,833.00

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Solution

The fourth proportional to 49,343.86, 68,091.92 and 27,833.00 is: 38,408.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,343.86 : 68,091.92 = 27,833.00 : x
  2. Step 2: Convert to fraction form
    49,343.86/68,091.92 = 27,833.00/x
  3. Step 3: Cross multiply
    49,343.86x = 68,091.92 × 27,833.00
  4. Step 4: Simplify right side
    49,343.86x = 1,895,202,034.11
  5. Step 5: Solve for x
    x = 1,895,202,034.11/49,343.86
  6. Step 6: Final answer
    x = 38,408.06

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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.