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Finding the Fourth Proportional to 33,930.69, 50,812.20 and 19,853.70

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Solution

The fourth proportional to 33,930.69, 50,812.20 and 19,853.70 is: 29,731.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,930.69 : 50,812.20 = 19,853.70 : x
  2. Step 2: Convert to fraction form
    33,930.69/50,812.20 = 19,853.70/x
  3. Step 3: Cross multiply
    33,930.69x = 50,812.20 × 19,853.70
  4. Step 4: Simplify right side
    33,930.69x = 1,008,810,175.14
  5. Step 5: Solve for x
    x = 1,008,810,175.14/33,930.69
  6. Step 6: Final answer
    x = 29,731.50

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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.