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Finding the Fourth Proportional to 33,988.62, 50,986.17 and 13,213.74

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Solution

The fourth proportional to 33,988.62, 50,986.17 and 13,213.74 is: 19,821.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,988.62 : 50,986.17 = 13,213.74 : x
  2. Step 2: Convert to fraction form
    33,988.62/50,986.17 = 13,213.74/x
  3. Step 3: Cross multiply
    33,988.62x = 50,986.17 × 13,213.74
  4. Step 4: Simplify right side
    33,988.62x = 673,717,993.98
  5. Step 5: Solve for x
    x = 673,717,993.98/33,988.62
  6. Step 6: Final answer
    x = 19,821.87

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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.