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Finding the Fourth Proportional to 110,907.75, 166,359.10 and 30,943.61

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Solution

The fourth proportional to 110,907.75, 166,359.10 and 30,943.61 is: 46,414.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,907.75 : 166,359.10 = 30,943.61 : x
  2. Step 2: Convert to fraction form
    110,907.75/166,359.10 = 30,943.61/x
  3. Step 3: Cross multiply
    110,907.75x = 166,359.10 × 30,943.61
  4. Step 4: Simplify right side
    110,907.75x = 5,147,751,110.35
  5. Step 5: Solve for x
    x = 5,147,751,110.35/110,907.75
  6. Step 6: Final answer
    x = 46,414.71

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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.