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Finding the Fourth Proportional to 82,067.84, 123,052.48 and 37,638.96

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Solution

The fourth proportional to 82,067.84, 123,052.48 and 37,638.96 is: 56,435.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,067.84 : 123,052.48 = 37,638.96 : x
  2. Step 2: Convert to fraction form
    82,067.84/123,052.48 = 37,638.96/x
  3. Step 3: Cross multiply
    82,067.84x = 123,052.48 × 37,638.96
  4. Step 4: Simplify right side
    82,067.84x = 4,631,567,372.62
  5. Step 5: Solve for x
    x = 4,631,567,372.62/82,067.84
  6. Step 6: Final answer
    x = 56,435.84

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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.