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Finding the Fourth Proportional to 54,067, 81,100.14 and 14,628.16

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Solution

The fourth proportional to 54,067, 81,100.14 and 14,628.16 is: 21,942.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,067 : 81,100.14 = 14,628.16 : x
  2. Step 2: Convert to fraction form
    54,067/81,100.14 = 14,628.16/x
  3. Step 3: Cross multiply
    54,067x = 81,100.14 × 14,628.16
  4. Step 4: Simplify right side
    54,067x = 1,186,345,823.94
  5. Step 5: Solve for x
    x = 1,186,345,823.94/54,067
  6. Step 6: Final answer
    x = 21,942.14

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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.