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Finding the Fourth Proportional to 82,765.50, 124,167.69 and 27,361.50

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Solution

The fourth proportional to 82,765.50, 124,167.69 and 27,361.50 is: 41,048.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,765.50 : 124,167.69 = 27,361.50 : x
  2. Step 2: Convert to fraction form
    82,765.50/124,167.69 = 27,361.50/x
  3. Step 3: Cross multiply
    82,765.50x = 124,167.69 × 27,361.50
  4. Step 4: Simplify right side
    82,765.50x = 3,397,414,249.94
  5. Step 5: Solve for x
    x = 3,397,414,249.94/82,765.50
  6. Step 6: Final answer
    x = 41,048.68

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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.