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Finding the Fourth Proportional to 49,949.60, 74,827.20 and 27,723.20

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Solution

The fourth proportional to 49,949.60, 74,827.20 and 27,723.20 is: 41,530.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,949.60 : 74,827.20 = 27,723.20 : x
  2. Step 2: Convert to fraction form
    49,949.60/74,827.20 = 27,723.20/x
  3. Step 3: Cross multiply
    49,949.60x = 74,827.20 × 27,723.20
  4. Step 4: Simplify right side
    49,949.60x = 2,074,449,431.04
  5. Step 5: Solve for x
    x = 2,074,449,431.04/49,949.60
  6. Step 6: Final answer
    x = 41,530.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.