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Finding the Fourth Proportional to 82,138.73, 123,189.50 and 37,722.78

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Solution

The fourth proportional to 82,138.73, 123,189.50 and 37,722.78 is: 56,575.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,138.73 : 123,189.50 = 37,722.78 : x
  2. Step 2: Convert to fraction form
    82,138.73/123,189.50 = 37,722.78/x
  3. Step 3: Cross multiply
    82,138.73x = 123,189.50 × 37,722.78
  4. Step 4: Simplify right side
    82,138.73x = 4,647,050,406.81
  5. Step 5: Solve for x
    x = 4,647,050,406.81/82,138.73
  6. Step 6: Final answer
    x = 56,575.63

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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.