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Finding the Fourth Proportional to 39,589, 54,635.92 and 22,589.32

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Solution

The fourth proportional to 39,589, 54,635.92 and 22,589.32 is: 31,175.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,589 : 54,635.92 = 22,589.32 : x
  2. Step 2: Convert to fraction form
    39,589/54,635.92 = 22,589.32/x
  3. Step 3: Cross multiply
    39,589x = 54,635.92 × 22,589.32
  4. Step 4: Simplify right side
    39,589x = 1,234,188,280.37
  5. Step 5: Solve for x
    x = 1,234,188,280.37/39,589
  6. Step 6: Final answer
    x = 31,175.03

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.