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Finding the Fourth Proportional to 54,880, 82,214.80 and 32,626

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Solution

The fourth proportional to 54,880, 82,214.80 and 32,626 is: 48,876.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,880 : 82,214.80 = 32,626 : x
  2. Step 2: Convert to fraction form
    54,880/82,214.80 = 32,626/x
  3. Step 3: Cross multiply
    54,880x = 82,214.80 × 32,626
  4. Step 4: Simplify right side
    54,880x = 2,682,340,064.80
  5. Step 5: Solve for x
    x = 2,682,340,064.80/54,880
  6. Step 6: Final answer
    x = 48,876.46

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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.