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Finding the Fourth Proportional to 54,015.56, 74,541.42 and 31,367.82

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Solution

The fourth proportional to 54,015.56, 74,541.42 and 31,367.82 is: 43,287.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,015.56 : 74,541.42 = 31,367.82 : x
  2. Step 2: Convert to fraction form
    54,015.56/74,541.42 = 31,367.82/x
  3. Step 3: Cross multiply
    54,015.56x = 74,541.42 × 31,367.82
  4. Step 4: Simplify right side
    54,015.56x = 2,338,201,845.10
  5. Step 5: Solve for x
    x = 2,338,201,845.10/54,015.56
  6. Step 6: Final answer
    x = 43,287.56

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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.