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Finding the Fourth Proportional to 33,434, 50,174.08 and 11,546

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Solution

The fourth proportional to 33,434, 50,174.08 and 11,546 is: 17,326.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,434 : 50,174.08 = 11,546 : x
  2. Step 2: Convert to fraction form
    33,434/50,174.08 = 11,546/x
  3. Step 3: Cross multiply
    33,434x = 50,174.08 × 11,546
  4. Step 4: Simplify right side
    33,434x = 579,309,927.68
  5. Step 5: Solve for x
    x = 579,309,927.68/33,434
  6. Step 6: Final answer
    x = 17,326.97

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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.