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Finding the Fourth Proportional to 49,474.21, 68,255.49 and 36,584.41

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Solution

The fourth proportional to 49,474.21, 68,255.49 and 36,584.41 is: 50,472.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,474.21 : 68,255.49 = 36,584.41 : x
  2. Step 2: Convert to fraction form
    49,474.21/68,255.49 = 36,584.41/x
  3. Step 3: Cross multiply
    49,474.21x = 68,255.49 × 36,584.41
  4. Step 4: Simplify right side
    49,474.21x = 2,497,086,830.91
  5. Step 5: Solve for x
    x = 2,497,086,830.91/49,474.21
  6. Step 6: Final answer
    x = 50,472.50

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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.