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Finding the Fourth Proportional to 49,497.30, 68,310.22 and 27,991.58

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Solution

The fourth proportional to 49,497.30, 68,310.22 and 27,991.58 is: 38,630.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,497.30 : 68,310.22 = 27,991.58 : x
  2. Step 2: Convert to fraction form
    49,497.30/68,310.22 = 27,991.58/x
  3. Step 3: Cross multiply
    49,497.30x = 68,310.22 × 27,991.58
  4. Step 4: Simplify right side
    49,497.30x = 1,912,110,887.15
  5. Step 5: Solve for x
    x = 1,912,110,887.15/49,497.30
  6. Step 6: Final answer
    x = 38,630.61

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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.