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Finding the Fourth Proportional to 54,270.42, 81,340 and 27,960.80

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Solution

The fourth proportional to 54,270.42, 81,340 and 27,960.80 is: 41,907.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,270.42 : 81,340 = 27,960.80 : x
  2. Step 2: Convert to fraction form
    54,270.42/81,340 = 27,960.80/x
  3. Step 3: Cross multiply
    54,270.42x = 81,340 × 27,960.80
  4. Step 4: Simplify right side
    54,270.42x = 2,274,331,472
  5. Step 5: Solve for x
    x = 2,274,331,472/54,270.42
  6. Step 6: Final answer
    x = 41,907.39

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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.