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Finding the Fourth Proportional to 54,839, 82,261.42 and 17,401.98

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Solution

The fourth proportional to 54,839, 82,261.42 and 17,401.98 is: 26,103.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,839 : 82,261.42 = 17,401.98 : x
  2. Step 2: Convert to fraction form
    54,839/82,261.42 = 17,401.98/x
  3. Step 3: Cross multiply
    54,839x = 82,261.42 × 17,401.98
  4. Step 4: Simplify right side
    54,839x = 1,431,511,585.61
  5. Step 5: Solve for x
    x = 1,431,511,585.61/54,839
  6. Step 6: Final answer
    x = 26,103.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.