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Finding the Fourth Proportional to 54,617.87, 81,975.62 and 27,982

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Solution

The fourth proportional to 54,617.87, 81,975.62 and 27,982 is: 41,998.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,617.87 : 81,975.62 = 27,982 : x
  2. Step 2: Convert to fraction form
    54,617.87/81,975.62 = 27,982/x
  3. Step 3: Cross multiply
    54,617.87x = 81,975.62 × 27,982
  4. Step 4: Simplify right side
    54,617.87x = 2,293,841,798.84
  5. Step 5: Solve for x
    x = 2,293,841,798.84/54,617.87
  6. Step 6: Final answer
    x = 41,998.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.