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Finding the Fourth Proportional to 75,974.71, 113,863.42 and 30,943.54

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Solution

The fourth proportional to 75,974.71, 113,863.42 and 30,943.54 is: 46,375.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,974.71 : 113,863.42 = 30,943.54 : x
  2. Step 2: Convert to fraction form
    75,974.71/113,863.42 = 30,943.54/x
  3. Step 3: Cross multiply
    75,974.71x = 113,863.42 × 30,943.54
  4. Step 4: Simplify right side
    75,974.71x = 3,523,337,792.56
  5. Step 5: Solve for x
    x = 3,523,337,792.56/75,974.71
  6. Step 6: Final answer
    x = 46,375.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.