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Finding the Fourth Proportional to 49,096.26, 67,737.24 and 27,871.56

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Solution

The fourth proportional to 49,096.26, 67,737.24 and 27,871.56 is: 38,453.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,096.26 : 67,737.24 = 27,871.56 : x
  2. Step 2: Convert to fraction form
    49,096.26/67,737.24 = 27,871.56/x
  3. Step 3: Cross multiply
    49,096.26x = 67,737.24 × 27,871.56
  4. Step 4: Simplify right side
    49,096.26x = 1,887,942,548.89
  5. Step 5: Solve for x
    x = 1,887,942,548.89/49,096.26
  6. Step 6: Final answer
    x = 38,453.90

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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.