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Finding the Fourth Proportional to 33,589, 50,383.50 and 8,965

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Solution

The fourth proportional to 33,589, 50,383.50 and 8,965 is: 13,447.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,589 : 50,383.50 = 8,965 : x
  2. Step 2: Convert to fraction form
    33,589/50,383.50 = 8,965/x
  3. Step 3: Cross multiply
    33,589x = 50,383.50 × 8,965
  4. Step 4: Simplify right side
    33,589x = 451,688,077.50
  5. Step 5: Solve for x
    x = 451,688,077.50/33,589
  6. Step 6: Final answer
    x = 13,447.50

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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.