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Finding the Fourth Proportional to 82,139.73, 123,191 and 37,723.78

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Solution

The fourth proportional to 82,139.73, 123,191 and 37,723.78 is: 56,577.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,139.73 : 123,191 = 37,723.78 : x
  2. Step 2: Convert to fraction form
    82,139.73/123,191 = 37,723.78/x
  3. Step 3: Cross multiply
    82,139.73x = 123,191 × 37,723.78
  4. Step 4: Simplify right side
    82,139.73x = 4,647,230,181.98
  5. Step 5: Solve for x
    x = 4,647,230,181.98/82,139.73
  6. Step 6: Final answer
    x = 56,577.13

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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.