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Finding the Fourth Proportional to 50,906.67, 76,446.87 and 33,167.67

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Solution

The fourth proportional to 50,906.67, 76,446.87 and 33,167.67 is: 49,808.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,906.67 : 76,446.87 = 33,167.67 : x
  2. Step 2: Convert to fraction form
    50,906.67/76,446.87 = 33,167.67/x
  3. Step 3: Cross multiply
    50,906.67x = 76,446.87 × 33,167.67
  4. Step 4: Simplify right side
    50,906.67x = 2,535,564,556.69
  5. Step 5: Solve for x
    x = 2,535,564,556.69/50,906.67
  6. Step 6: Final answer
    x = 49,808.10

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Why These Related Problems?

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