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Finding the Fourth Proportional to 33,976.89, 50,983.68 and 19,964.31

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Solution

The fourth proportional to 33,976.89, 50,983.68 and 19,964.31 is: 29,957.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,976.89 : 50,983.68 = 19,964.31 : x
  2. Step 2: Convert to fraction form
    33,976.89/50,983.68 = 19,964.31/x
  3. Step 3: Cross multiply
    33,976.89x = 50,983.68 × 19,964.31
  4. Step 4: Simplify right side
    33,976.89x = 1,017,853,992.46
  5. Step 5: Solve for x
    x = 1,017,853,992.46/33,976.89
  6. Step 6: Final answer
    x = 29,957.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.