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Finding the Fourth Proportional to 49,801, 68,729.70 and 27,449.32

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Solution

The fourth proportional to 49,801, 68,729.70 and 27,449.32 is: 37,882.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,801 : 68,729.70 = 27,449.32 : x
  2. Step 2: Convert to fraction form
    49,801/68,729.70 = 27,449.32/x
  3. Step 3: Cross multiply
    49,801x = 68,729.70 × 27,449.32
  4. Step 4: Simplify right side
    49,801x = 1,886,583,528.80
  5. Step 5: Solve for x
    x = 1,886,583,528.80/49,801
  6. Step 6: Final answer
    x = 37,882.44

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.