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Finding the Fourth Proportional to 49,796.71, 68,717.71 and 27,992.32

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Solution

The fourth proportional to 49,796.71, 68,717.71 and 27,992.32 is: 38,628.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,796.71 : 68,717.71 = 27,992.32 : x
  2. Step 2: Convert to fraction form
    49,796.71/68,717.71 = 27,992.32/x
  3. Step 3: Cross multiply
    49,796.71x = 68,717.71 × 27,992.32
  4. Step 4: Simplify right side
    49,796.71x = 1,923,567,644.44
  5. Step 5: Solve for x
    x = 1,923,567,644.44/49,796.71
  6. Step 6: Final answer
    x = 38,628.41

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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.