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Finding the Fourth Proportional to 33,591, 50,386.50 and 8,967

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Solution

The fourth proportional to 33,591, 50,386.50 and 8,967 is: 13,450.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,591 : 50,386.50 = 8,967 : x
  2. Step 2: Convert to fraction form
    33,591/50,386.50 = 8,967/x
  3. Step 3: Cross multiply
    33,591x = 50,386.50 × 8,967
  4. Step 4: Simplify right side
    33,591x = 451,815,745.50
  5. Step 5: Solve for x
    x = 451,815,745.50/33,591
  6. Step 6: Final answer
    x = 13,450.50

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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.