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Finding the Fourth Proportional to 33,789.54, 50,683.68 and 10,097.16

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Solution

The fourth proportional to 33,789.54, 50,683.68 and 10,097.16 is: 15,145.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,789.54 : 50,683.68 = 10,097.16 : x
  2. Step 2: Convert to fraction form
    33,789.54/50,683.68 = 10,097.16/x
  3. Step 3: Cross multiply
    33,789.54x = 50,683.68 × 10,097.16
  4. Step 4: Simplify right side
    33,789.54x = 511,761,226.35
  5. Step 5: Solve for x
    x = 511,761,226.35/33,789.54
  6. Step 6: Final answer
    x = 15,145.55

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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.