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Finding the Fourth Proportional to 33,846.75, 50,770.14 and 9,222.75

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Solution

The fourth proportional to 33,846.75, 50,770.14 and 9,222.75 is: 13,834.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,846.75 : 50,770.14 = 9,222.75 : x
  2. Step 2: Convert to fraction form
    33,846.75/50,770.14 = 9,222.75/x
  3. Step 3: Cross multiply
    33,846.75x = 50,770.14 × 9,222.75
  4. Step 4: Simplify right side
    33,846.75x = 468,240,308.69
  5. Step 5: Solve for x
    x = 468,240,308.69/33,846.75
  6. Step 6: Final answer
    x = 13,834.13

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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.