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Finding the Fourth Proportional to 54,876, 82,208.82 and 32,622

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Solution

The fourth proportional to 54,876, 82,208.82 and 32,622 is: 48,870.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,876 : 82,208.82 = 32,622 : x
  2. Step 2: Convert to fraction form
    54,876/82,208.82 = 32,622/x
  3. Step 3: Cross multiply
    54,876x = 82,208.82 × 32,622
  4. Step 4: Simplify right side
    54,876x = 2,681,816,126.04
  5. Step 5: Solve for x
    x = 2,681,816,126.04/54,876
  6. Step 6: Final answer
    x = 48,870.47

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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.