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Finding the Fourth Proportional to 33,847.14, 50,770.68 and 9,223.14

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Solution

The fourth proportional to 33,847.14, 50,770.68 and 9,223.14 is: 13,834.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,847.14 : 50,770.68 = 9,223.14 : x
  2. Step 2: Convert to fraction form
    33,847.14/50,770.68 = 9,223.14/x
  3. Step 3: Cross multiply
    33,847.14x = 50,770.68 × 9,223.14
  4. Step 4: Simplify right side
    33,847.14x = 468,265,089.54
  5. Step 5: Solve for x
    x = 468,265,089.54/33,847.14
  6. Step 6: Final answer
    x = 13,834.70

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1.5x scale

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.