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Finding the Fourth Proportional to 54,517.74, 75,236.62 and 30,644.34

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Solution

The fourth proportional to 54,517.74, 75,236.62 and 30,644.34 is: 42,290.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,517.74 : 75,236.62 = 30,644.34 : x
  2. Step 2: Convert to fraction form
    54,517.74/75,236.62 = 30,644.34/x
  3. Step 3: Cross multiply
    54,517.74x = 75,236.62 × 30,644.34
  4. Step 4: Simplify right side
    54,517.74x = 2,305,576,563.73
  5. Step 5: Solve for x
    x = 2,305,576,563.73/54,517.74
  6. Step 6: Final answer
    x = 42,290.39

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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.