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Finding the Fourth Proportional to 33,930.99, 50,882.79 and 10,231.20

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Solution

The fourth proportional to 33,930.99, 50,882.79 and 10,231.20 is: 15,342.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,930.99 : 50,882.79 = 10,231.20 : x
  2. Step 2: Convert to fraction form
    33,930.99/50,882.79 = 10,231.20/x
  3. Step 3: Cross multiply
    33,930.99x = 50,882.79 × 10,231.20
  4. Step 4: Simplify right side
    33,930.99x = 520,592,001.05
  5. Step 5: Solve for x
    x = 520,592,001.05/33,930.99
  6. Step 6: Final answer
    x = 15,342.67

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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.