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Finding the Fourth Proportional to 70,734.36, 106,101.54 and 33,271.14

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Solution

The fourth proportional to 70,734.36, 106,101.54 and 33,271.14 is: 49,906.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,734.36 : 106,101.54 = 33,271.14 : x
  2. Step 2: Convert to fraction form
    70,734.36/106,101.54 = 33,271.14/x
  3. Step 3: Cross multiply
    70,734.36x = 106,101.54 × 33,271.14
  4. Step 4: Simplify right side
    70,734.36x = 3,530,119,191.56
  5. Step 5: Solve for x
    x = 3,530,119,191.56/70,734.36
  6. Step 6: Final answer
    x = 49,906.71

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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.