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Finding the Fourth Proportional to 33,680.39, 50,505.94 and 9,659.41

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Solution

The fourth proportional to 33,680.39, 50,505.94 and 9,659.41 is: 14,484.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,680.39 : 50,505.94 = 9,659.41 : x
  2. Step 2: Convert to fraction form
    33,680.39/50,505.94 = 9,659.41/x
  3. Step 3: Cross multiply
    33,680.39x = 50,505.94 × 9,659.41
  4. Step 4: Simplify right side
    33,680.39x = 487,857,581.90
  5. Step 5: Solve for x
    x = 487,857,581.90/33,680.39
  6. Step 6: Final answer
    x = 14,484.91

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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.