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Finding the Fourth Proportional to 49,585.68, 74,311.08 and 27,366

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Solution

The fourth proportional to 49,585.68, 74,311.08 and 27,366 is: 41,011.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,585.68 : 74,311.08 = 27,366 : x
  2. Step 2: Convert to fraction form
    49,585.68/74,311.08 = 27,366/x
  3. Step 3: Cross multiply
    49,585.68x = 74,311.08 × 27,366
  4. Step 4: Simplify right side
    49,585.68x = 2,033,597,015.28
  5. Step 5: Solve for x
    x = 2,033,597,015.28/49,585.68
  6. Step 6: Final answer
    x = 41,011.78

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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.