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Finding the Fourth Proportional to 47,371.70, 71,019.82 and 27,358.43

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Solution

The fourth proportional to 47,371.70, 71,019.82 and 27,358.43 is: 41,015.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,371.70 : 71,019.82 = 27,358.43 : x
  2. Step 2: Convert to fraction form
    47,371.70/71,019.82 = 27,358.43/x
  3. Step 3: Cross multiply
    47,371.70x = 71,019.82 × 27,358.43
  4. Step 4: Simplify right side
    47,371.70x = 1,942,990,453.18
  5. Step 5: Solve for x
    x = 1,942,990,453.18/47,371.70
  6. Step 6: Final answer
    x = 41,015.85

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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.