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Finding the Fourth Proportional to 33,804.72, 50,694.12 and 11,613.96

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Solution

The fourth proportional to 33,804.72, 50,694.12 and 11,613.96 is: 17,416.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,804.72 : 50,694.12 = 11,613.96 : x
  2. Step 2: Convert to fraction form
    33,804.72/50,694.12 = 11,613.96/x
  3. Step 3: Cross multiply
    33,804.72x = 50,694.12 × 11,613.96
  4. Step 4: Simplify right side
    33,804.72x = 588,759,481.92
  5. Step 5: Solve for x
    x = 588,759,481.92/33,804.72
  6. Step 6: Final answer
    x = 17,416.49

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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.