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Finding the Fourth Proportional to 49,177, 73,766.22 and 12,241

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Solution

The fourth proportional to 49,177, 73,766.22 and 12,241 is: 18,361.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,177 : 73,766.22 = 12,241 : x
  2. Step 2: Convert to fraction form
    49,177/73,766.22 = 12,241/x
  3. Step 3: Cross multiply
    49,177x = 73,766.22 × 12,241
  4. Step 4: Simplify right side
    49,177x = 902,972,299.02
  5. Step 5: Solve for x
    x = 902,972,299.02/49,177
  6. Step 6: Final answer
    x = 18,361.68

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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.