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Finding the Fourth Proportional to 70,745.94, 106,082.39 and 20,819.55

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Solution

The fourth proportional to 70,745.94, 106,082.39 and 20,819.55 is: 31,218.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,745.94 : 106,082.39 = 20,819.55 : x
  2. Step 2: Convert to fraction form
    70,745.94/106,082.39 = 20,819.55/x
  3. Step 3: Cross multiply
    70,745.94x = 106,082.39 × 20,819.55
  4. Step 4: Simplify right side
    70,745.94x = 2,208,587,622.72
  5. Step 5: Solve for x
    x = 2,208,587,622.72/70,745.94
  6. Step 6: Final answer
    x = 31,218.58

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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.