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Finding the Fourth Proportional to 49,624, 68,481.14 and 27,268

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Solution

The fourth proportional to 49,624, 68,481.14 and 27,268 is: 37,629.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,624 : 68,481.14 = 27,268 : x
  2. Step 2: Convert to fraction form
    49,624/68,481.14 = 27,268/x
  3. Step 3: Cross multiply
    49,624x = 68,481.14 × 27,268
  4. Step 4: Simplify right side
    49,624x = 1,867,343,725.52
  5. Step 5: Solve for x
    x = 1,867,343,725.52/49,624
  6. Step 6: Final answer
    x = 37,629.85

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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.