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Finding the Fourth Proportional to 54,272.82, 81,410.31 and 35,671.44

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Solution

The fourth proportional to 54,272.82, 81,410.31 and 35,671.44 is: 53,507.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,272.82 : 81,410.31 = 35,671.44 : x
  2. Step 2: Convert to fraction form
    54,272.82/81,410.31 = 35,671.44/x
  3. Step 3: Cross multiply
    54,272.82x = 81,410.31 × 35,671.44
  4. Step 4: Simplify right side
    54,272.82x = 2,904,022,988.55
  5. Step 5: Solve for x
    x = 2,904,022,988.55/54,272.82
  6. Step 6: Final answer
    x = 53,507.87

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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.