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Finding the Fourth Proportional to 49,856, 68,801.28 and 27,501.44

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Solution

The fourth proportional to 49,856, 68,801.28 and 27,501.44 is: 37,951.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,856 : 68,801.28 = 27,501.44 : x
  2. Step 2: Convert to fraction form
    49,856/68,801.28 = 27,501.44/x
  3. Step 3: Cross multiply
    49,856x = 68,801.28 × 27,501.44
  4. Step 4: Simplify right side
    49,856x = 1,892,134,273.84
  5. Step 5: Solve for x
    x = 1,892,134,273.84/49,856
  6. Step 6: Final answer
    x = 37,951.99

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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.