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Finding the Fourth Proportional to 49,881.92, 68,838.52 and 27,222.38

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Solution

The fourth proportional to 49,881.92, 68,838.52 and 27,222.38 is: 37,567.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,881.92 : 68,838.52 = 27,222.38 : x
  2. Step 2: Convert to fraction form
    49,881.92/68,838.52 = 27,222.38/x
  3. Step 3: Cross multiply
    49,881.92x = 68,838.52 × 27,222.38
  4. Step 4: Simplify right side
    49,881.92x = 1,873,948,350.08
  5. Step 5: Solve for x
    x = 1,873,948,350.08/49,881.92
  6. Step 6: Final answer
    x = 37,567.69

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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.