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Finding the Fourth Proportional to 71,313.92, 106,827.86 and 33,910.04

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Solution

The fourth proportional to 71,313.92, 106,827.86 and 33,910.04 is: 50,797.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,313.92 : 106,827.86 = 33,910.04 : x
  2. Step 2: Convert to fraction form
    71,313.92/106,827.86 = 33,910.04/x
  3. Step 3: Cross multiply
    71,313.92x = 106,827.86 × 33,910.04
  4. Step 4: Simplify right side
    71,313.92x = 3,622,537,357.56
  5. Step 5: Solve for x
    x = 3,622,537,357.56/71,313.92
  6. Step 6: Final answer
    x = 50,797.06

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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.