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Finding the Fourth Proportional to 54,290.68, 74,912.42 and 30,418.36

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Solution

The fourth proportional to 54,290.68, 74,912.42 and 30,418.36 is: 41,972.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,290.68 : 74,912.42 = 30,418.36 : x
  2. Step 2: Convert to fraction form
    54,290.68/74,912.42 = 30,418.36/x
  3. Step 3: Cross multiply
    54,290.68x = 74,912.42 × 30,418.36
  4. Step 4: Simplify right side
    54,290.68x = 2,278,712,960.03
  5. Step 5: Solve for x
    x = 2,278,712,960.03/54,290.68
  6. Step 6: Final answer
    x = 41,972.45

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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.