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Finding the Fourth Proportional to 49,770.80, 68,683.56 and 27,414.80

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Solution

The fourth proportional to 49,770.80, 68,683.56 and 27,414.80 is: 37,832.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,770.80 : 68,683.56 = 27,414.80 : x
  2. Step 2: Convert to fraction form
    49,770.80/68,683.56 = 27,414.80/x
  3. Step 3: Cross multiply
    49,770.80x = 68,683.56 × 27,414.80
  4. Step 4: Simplify right side
    49,770.80x = 1,882,946,060.69
  5. Step 5: Solve for x
    x = 1,882,946,060.69/49,770.80
  6. Step 6: Final answer
    x = 37,832.34

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