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Finding the Fourth Proportional to 51,906.92, 71,556.90 and 36,977

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Solution

The fourth proportional to 51,906.92, 71,556.90 and 36,977 is: 50,975.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,906.92 : 71,556.90 = 36,977 : x
  2. Step 2: Convert to fraction form
    51,906.92/71,556.90 = 36,977/x
  3. Step 3: Cross multiply
    51,906.92x = 71,556.90 × 36,977
  4. Step 4: Simplify right side
    51,906.92x = 2,645,959,491.30
  5. Step 5: Solve for x
    x = 2,645,959,491.30/51,906.92
  6. Step 6: Final answer
    x = 50,975.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.