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Finding the Fourth Proportional to 49,343.53, 68,093.96 and 27,833.21

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Solution

The fourth proportional to 49,343.53, 68,093.96 and 27,833.21 is: 38,409.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,343.53 : 68,093.96 = 27,833.21 : x
  2. Step 2: Convert to fraction form
    49,343.53/68,093.96 = 27,833.21/x
  3. Step 3: Cross multiply
    49,343.53x = 68,093.96 × 27,833.21
  4. Step 4: Simplify right side
    49,343.53x = 1,895,273,008.78
  5. Step 5: Solve for x
    x = 1,895,273,008.78/49,343.53
  6. Step 6: Final answer
    x = 38,409.76

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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.