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Finding the Fourth Proportional to 54,123.70, 74,642.30 and 33,982.44

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Solution

The fourth proportional to 54,123.70, 74,642.30 and 33,982.44 is: 46,865.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,123.70 : 74,642.30 = 33,982.44 : x
  2. Step 2: Convert to fraction form
    54,123.70/74,642.30 = 33,982.44/x
  3. Step 3: Cross multiply
    54,123.70x = 74,642.30 × 33,982.44
  4. Step 4: Simplify right side
    54,123.70x = 2,536,527,481.21
  5. Step 5: Solve for x
    x = 2,536,527,481.21/54,123.70
  6. Step 6: Final answer
    x = 46,865.37

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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.