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Finding the Fourth Proportional to 33,549, 50,325.21 and 8,589.26

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Solution

The fourth proportional to 33,549, 50,325.21 and 8,589.26 is: 12,884.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,549 : 50,325.21 = 8,589.26 : x
  2. Step 2: Convert to fraction form
    33,549/50,325.21 = 8,589.26/x
  3. Step 3: Cross multiply
    33,549x = 50,325.21 × 8,589.26
  4. Step 4: Simplify right side
    33,549x = 432,256,061.62
  5. Step 5: Solve for x
    x = 432,256,061.62/33,549
  6. Step 6: Final answer
    x = 12,884.32

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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.