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Finding the Fourth Proportional to 49,553, 68,383.14 and 27,198.44

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Solution

The fourth proportional to 49,553, 68,383.14 and 27,198.44 is: 37,533.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,553 : 68,383.14 = 27,198.44 : x
  2. Step 2: Convert to fraction form
    49,553/68,383.14 = 27,198.44/x
  3. Step 3: Cross multiply
    49,553x = 68,383.14 × 27,198.44
  4. Step 4: Simplify right side
    49,553x = 1,859,914,730.30
  5. Step 5: Solve for x
    x = 1,859,914,730.30/49,553
  6. Step 6: Final answer
    x = 37,533.85

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1.5x scale

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.