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Finding the Fourth Proportional to 33,544.50, 50,318.46 and 8,584.76

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Solution

The fourth proportional to 33,544.50, 50,318.46 and 8,584.76 is: 12,877.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,544.50 : 50,318.46 = 8,584.76 : x
  2. Step 2: Convert to fraction form
    33,544.50/50,318.46 = 8,584.76/x
  3. Step 3: Cross multiply
    33,544.50x = 50,318.46 × 8,584.76
  4. Step 4: Simplify right side
    33,544.50x = 431,971,651.08
  5. Step 5: Solve for x
    x = 431,971,651.08/33,544.50
  6. Step 6: Final answer
    x = 12,877.57

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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.