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Finding the Fourth Proportional to 54,252, 81,422.15 and 27,964.26

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Solution

The fourth proportional to 54,252, 81,422.15 and 27,964.26 is: 41,969.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,252 : 81,422.15 = 27,964.26 : x
  2. Step 2: Convert to fraction form
    54,252/81,422.15 = 27,964.26/x
  3. Step 3: Cross multiply
    54,252x = 81,422.15 × 27,964.26
  4. Step 4: Simplify right side
    54,252x = 2,276,910,032.54
  5. Step 5: Solve for x
    x = 2,276,910,032.54/54,252
  6. Step 6: Final answer
    x = 41,969.14

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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.