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Finding the Fourth Proportional to 54,881, 82,216.30 and 32,627

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Solution

The fourth proportional to 54,881, 82,216.30 and 32,627 is: 48,877.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,881 : 82,216.30 = 32,627 : x
  2. Step 2: Convert to fraction form
    54,881/82,216.30 = 32,627/x
  3. Step 3: Cross multiply
    54,881x = 82,216.30 × 32,627
  4. Step 4: Simplify right side
    54,881x = 2,682,471,220.10
  5. Step 5: Solve for x
    x = 2,682,471,220.10/54,881
  6. Step 6: Final answer
    x = 48,877.96

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Why These Related Problems?

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