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Finding the Fourth Proportional to 54,522.26, 81,745.12 and 21,214.26

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Solution

The fourth proportional to 54,522.26, 81,745.12 and 21,214.26 is: 31,806.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,522.26 : 81,745.12 = 21,214.26 : x
  2. Step 2: Convert to fraction form
    54,522.26/81,745.12 = 21,214.26/x
  3. Step 3: Cross multiply
    54,522.26x = 81,745.12 × 21,214.26
  4. Step 4: Simplify right side
    54,522.26x = 1,734,162,229.41
  5. Step 5: Solve for x
    x = 1,734,162,229.41/54,522.26
  6. Step 6: Final answer
    x = 31,806.50

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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.