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Finding the Fourth Proportional to 49,846.44, 68,786.70 and 27,489

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Solution

The fourth proportional to 49,846.44, 68,786.70 and 27,489 is: 37,934.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,846.44 : 68,786.70 = 27,489 : x
  2. Step 2: Convert to fraction form
    49,846.44/68,786.70 = 27,489/x
  3. Step 3: Cross multiply
    49,846.44x = 68,786.70 × 27,489
  4. Step 4: Simplify right side
    49,846.44x = 1,890,877,596.30
  5. Step 5: Solve for x
    x = 1,890,877,596.30/49,846.44
  6. Step 6: Final answer
    x = 37,934.05

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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.