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Finding the Fourth Proportional to 41,589, 57,392.82 and 24,822

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Solution

The fourth proportional to 41,589, 57,392.82 and 24,822 is: 34,254.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,589 : 57,392.82 = 24,822 : x
  2. Step 2: Convert to fraction form
    41,589/57,392.82 = 24,822/x
  3. Step 3: Cross multiply
    41,589x = 57,392.82 × 24,822
  4. Step 4: Simplify right side
    41,589x = 1,424,604,578.04
  5. Step 5: Solve for x
    x = 1,424,604,578.04/41,589
  6. Step 6: Final answer
    x = 34,254.36

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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.