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Finding the Fourth Proportional to 54,206.40, 81,309.60 and 40,382.40

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Solution

The fourth proportional to 54,206.40, 81,309.60 and 40,382.40 is: 60,573.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,206.40 : 81,309.60 = 40,382.40 : x
  2. Step 2: Convert to fraction form
    54,206.40/81,309.60 = 40,382.40/x
  3. Step 3: Cross multiply
    54,206.40x = 81,309.60 × 40,382.40
  4. Step 4: Simplify right side
    54,206.40x = 3,283,476,791.04
  5. Step 5: Solve for x
    x = 3,283,476,791.04/54,206.40
  6. Step 6: Final answer
    x = 60,573.60

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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.