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Finding the Fourth Proportional to 33,286.88, 49,941.12 and 12,512

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Solution

The fourth proportional to 33,286.88, 49,941.12 and 12,512 is: 18,772.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,286.88 : 49,941.12 = 12,512 : x
  2. Step 2: Convert to fraction form
    33,286.88/49,941.12 = 12,512/x
  3. Step 3: Cross multiply
    33,286.88x = 49,941.12 × 12,512
  4. Step 4: Simplify right side
    33,286.88x = 624,863,293.44
  5. Step 5: Solve for x
    x = 624,863,293.44/33,286.88
  6. Step 6: Final answer
    x = 18,772.06

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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.