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Finding the Fourth Proportional to 54,099.48, 74,651.58 and 30,227.16

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Solution

The fourth proportional to 54,099.48, 74,651.58 and 30,227.16 is: 41,710.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,099.48 : 74,651.58 = 30,227.16 : x
  2. Step 2: Convert to fraction form
    54,099.48/74,651.58 = 30,227.16/x
  3. Step 3: Cross multiply
    54,099.48x = 74,651.58 × 30,227.16
  4. Step 4: Simplify right side
    54,099.48x = 2,256,505,252.91
  5. Step 5: Solve for x
    x = 2,256,505,252.91/54,099.48
  6. Step 6: Final answer
    x = 41,710.29

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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.