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Finding the Fourth Proportional to 49,847.94, 68,797.62 and 31,963.14

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Solution

The fourth proportional to 49,847.94, 68,797.62 and 31,963.14 is: 44,113.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,847.94 : 68,797.62 = 31,963.14 : x
  2. Step 2: Convert to fraction form
    49,847.94/68,797.62 = 31,963.14/x
  3. Step 3: Cross multiply
    49,847.94x = 68,797.62 × 31,963.14
  4. Step 4: Simplify right side
    49,847.94x = 2,198,987,959.73
  5. Step 5: Solve for x
    x = 2,198,987,959.73/49,847.94
  6. Step 6: Final answer
    x = 44,113.92

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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.