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Finding the Fourth Proportional to 75,718.13, 113,609.99 and 40,616.78

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Solution

The fourth proportional to 75,718.13, 113,609.99 and 40,616.78 is: 60,942.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,718.13 : 113,609.99 = 40,616.78 : x
  2. Step 2: Convert to fraction form
    75,718.13/113,609.99 = 40,616.78/x
  3. Step 3: Cross multiply
    75,718.13x = 113,609.99 × 40,616.78
  4. Step 4: Simplify right side
    75,718.13x = 4,614,471,198.50
  5. Step 5: Solve for x
    x = 4,614,471,198.50/75,718.13
  6. Step 6: Final answer
    x = 60,942.76

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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.