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Finding the Fourth Proportional to 82,267.36, 113,568.42 and 52,067.32

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Solution

The fourth proportional to 82,267.36, 113,568.42 and 52,067.32 is: 71,877.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,267.36 : 113,568.42 = 52,067.32 : x
  2. Step 2: Convert to fraction form
    82,267.36/113,568.42 = 52,067.32/x
  3. Step 3: Cross multiply
    82,267.36x = 113,568.42 × 52,067.32
  4. Step 4: Simplify right side
    82,267.36x = 5,913,203,266.03
  5. Step 5: Solve for x
    x = 5,913,203,266.03/82,267.36
  6. Step 6: Final answer
    x = 71,877.88

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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.