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Finding the Fourth Proportional to 49,647, 68,571.36 and 32,850.84

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Solution

The fourth proportional to 49,647, 68,571.36 and 32,850.84 is: 45,372.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,647 : 68,571.36 = 32,850.84 : x
  2. Step 2: Convert to fraction form
    49,647/68,571.36 = 32,850.84/x
  3. Step 3: Cross multiply
    49,647x = 68,571.36 × 32,850.84
  4. Step 4: Simplify right side
    49,647x = 2,252,626,775.94
  5. Step 5: Solve for x
    x = 2,252,626,775.94/49,647
  6. Step 6: Final answer
    x = 45,372.87

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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.