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Finding the Fourth Proportional to 33,609.66, 50,381.10 and 16,059

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Solution

The fourth proportional to 33,609.66, 50,381.10 and 16,059 is: 24,072.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,609.66 : 50,381.10 = 16,059 : x
  2. Step 2: Convert to fraction form
    33,609.66/50,381.10 = 16,059/x
  3. Step 3: Cross multiply
    33,609.66x = 50,381.10 × 16,059
  4. Step 4: Simplify right side
    33,609.66x = 809,070,084.90
  5. Step 5: Solve for x
    x = 809,070,084.90/33,609.66
  6. Step 6: Final answer
    x = 24,072.55

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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.