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Finding the Fourth Proportional to 33,867.75, 50,801.64 and 9,243.75

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Solution

The fourth proportional to 33,867.75, 50,801.64 and 9,243.75 is: 13,865.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,867.75 : 50,801.64 = 9,243.75 : x
  2. Step 2: Convert to fraction form
    33,867.75/50,801.64 = 9,243.75/x
  3. Step 3: Cross multiply
    33,867.75x = 50,801.64 × 9,243.75
  4. Step 4: Simplify right side
    33,867.75x = 469,597,659.75
  5. Step 5: Solve for x
    x = 469,597,659.75/33,867.75
  6. Step 6: Final answer
    x = 13,865.63

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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.