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Finding the Fourth Proportional to 49,456, 68,250.24 and 27,101.44

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Solution

The fourth proportional to 49,456, 68,250.24 and 27,101.44 is: 37,400.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,456 : 68,250.24 = 27,101.44 : x
  2. Step 2: Convert to fraction form
    49,456/68,250.24 = 27,101.44/x
  3. Step 3: Cross multiply
    49,456x = 68,250.24 × 27,101.44
  4. Step 4: Simplify right side
    49,456x = 1,849,679,784.35
  5. Step 5: Solve for x
    x = 1,849,679,784.35/49,456
  6. Step 6: Final answer
    x = 37,400.51

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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.