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Finding the Fourth Proportional to 33,805.80, 50,708.70 and 9,181.80

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Solution

The fourth proportional to 33,805.80, 50,708.70 and 9,181.80 is: 13,772.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,805.80 : 50,708.70 = 9,181.80 : x
  2. Step 2: Convert to fraction form
    33,805.80/50,708.70 = 9,181.80/x
  3. Step 3: Cross multiply
    33,805.80x = 50,708.70 × 9,181.80
  4. Step 4: Simplify right side
    33,805.80x = 465,597,141.66
  5. Step 5: Solve for x
    x = 465,597,141.66/33,805.80
  6. Step 6: Final answer
    x = 13,772.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.