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Finding the Fourth Proportional to 33,564.74, 50,343.86 and 10,191.38

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Solution

The fourth proportional to 33,564.74, 50,343.86 and 10,191.38 is: 15,286.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,564.74 : 50,343.86 = 10,191.38 : x
  2. Step 2: Convert to fraction form
    33,564.74/50,343.86 = 10,191.38/x
  3. Step 3: Cross multiply
    33,564.74x = 50,343.86 × 10,191.38
  4. Step 4: Simplify right side
    33,564.74x = 513,073,407.93
  5. Step 5: Solve for x
    x = 513,073,407.93/33,564.74
  6. Step 6: Final answer
    x = 15,286.08

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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.