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Finding the Fourth Proportional to 49,163.81, 67,851.83 and 27,946.26

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Solution

The fourth proportional to 49,163.81, 67,851.83 and 27,946.26 is: 38,569.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,163.81 : 67,851.83 = 27,946.26 : x
  2. Step 2: Convert to fraction form
    49,163.81/67,851.83 = 27,946.26/x
  3. Step 3: Cross multiply
    49,163.81x = 67,851.83 × 27,946.26
  4. Step 4: Simplify right side
    49,163.81x = 1,896,204,742.92
  5. Step 5: Solve for x
    x = 1,896,204,742.92/49,163.81
  6. Step 6: Final answer
    x = 38,569.12

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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.