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Finding the Fourth Proportional to 49,238.36, 73,856.96 and 33,404.16

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Solution

The fourth proportional to 49,238.36, 73,856.96 and 33,404.16 is: 50,105.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,238.36 : 73,856.96 = 33,404.16 : x
  2. Step 2: Convert to fraction form
    49,238.36/73,856.96 = 33,404.16/x
  3. Step 3: Cross multiply
    49,238.36x = 73,856.96 × 33,404.16
  4. Step 4: Simplify right side
    49,238.36x = 2,467,129,708.95
  5. Step 5: Solve for x
    x = 2,467,129,708.95/49,238.36
  6. Step 6: Final answer
    x = 50,105.85

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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.