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Finding the Fourth Proportional to 33,894.89, 50,846.59 and 10,198.75

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Solution

The fourth proportional to 33,894.89, 50,846.59 and 10,198.75 is: 15,299.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,894.89 : 50,846.59 = 10,198.75 : x
  2. Step 2: Convert to fraction form
    33,894.89/50,846.59 = 10,198.75/x
  3. Step 3: Cross multiply
    33,894.89x = 50,846.59 × 10,198.75
  4. Step 4: Simplify right side
    33,894.89x = 518,571,659.76
  5. Step 5: Solve for x
    x = 518,571,659.76/33,894.89
  6. Step 6: Final answer
    x = 15,299.41

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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.