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Finding the Fourth Proportional to 71,198.64, 106,795.56 and 33,776.64

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Solution

The fourth proportional to 71,198.64, 106,795.56 and 33,776.64 is: 50,663.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,198.64 : 106,795.56 = 33,776.64 : x
  2. Step 2: Convert to fraction form
    71,198.64/106,795.56 = 33,776.64/x
  3. Step 3: Cross multiply
    71,198.64x = 106,795.56 × 33,776.64
  4. Step 4: Simplify right side
    71,198.64x = 3,607,195,183.72
  5. Step 5: Solve for x
    x = 3,607,195,183.72/71,198.64
  6. Step 6: Final answer
    x = 50,663.82

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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.