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Finding the Fourth Proportional to 33,805.50, 50,709.21 and 9,181.50

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Solution

The fourth proportional to 33,805.50, 50,709.21 and 9,181.50 is: 13,772.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,805.50 : 50,709.21 = 9,181.50 : x
  2. Step 2: Convert to fraction form
    33,805.50/50,709.21 = 9,181.50/x
  3. Step 3: Cross multiply
    33,805.50x = 50,709.21 × 9,181.50
  4. Step 4: Simplify right side
    33,805.50x = 465,586,611.62
  5. Step 5: Solve for x
    x = 465,586,611.62/33,805.50
  6. Step 6: Final answer
    x = 13,772.51

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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.