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Finding the Fourth Proportional to 54,844.68, 75,685.32 and 29,694

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Solution

The fourth proportional to 54,844.68, 75,685.32 and 29,694 is: 40,977.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,844.68 : 75,685.32 = 29,694 : x
  2. Step 2: Convert to fraction form
    54,844.68/75,685.32 = 29,694/x
  3. Step 3: Cross multiply
    54,844.68x = 75,685.32 × 29,694
  4. Step 4: Simplify right side
    54,844.68x = 2,247,399,892.08
  5. Step 5: Solve for x
    x = 2,247,399,892.08/54,844.68
  6. Step 6: Final answer
    x = 40,977.54

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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.