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Finding the Fourth Proportional to 33,983.87, 50,975.80 and 10,612.31

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Solution

The fourth proportional to 33,983.87, 50,975.80 and 10,612.31 is: 15,918.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,983.87 : 50,975.80 = 10,612.31 : x
  2. Step 2: Convert to fraction form
    33,983.87/50,975.80 = 10,612.31/x
  3. Step 3: Cross multiply
    33,983.87x = 50,975.80 × 10,612.31
  4. Step 4: Simplify right side
    33,983.87x = 540,970,992.10
  5. Step 5: Solve for x
    x = 540,970,992.10/33,983.87
  6. Step 6: Final answer
    x = 15,918.46

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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.