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Finding the Fourth Proportional to 106,666, 160,024.92 and 32,794

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Solution

The fourth proportional to 106,666, 160,024.92 and 32,794 is: 49,198.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,666 : 160,024.92 = 32,794 : x
  2. Step 2: Convert to fraction form
    106,666/160,024.92 = 32,794/x
  3. Step 3: Cross multiply
    106,666x = 160,024.92 × 32,794
  4. Step 4: Simplify right side
    106,666x = 5,247,857,226.48
  5. Step 5: Solve for x
    x = 5,247,857,226.48/106,666
  6. Step 6: Final answer
    x = 49,198.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.