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Finding the Fourth Proportional to 110,716.97, 166,101.82 and 35,837.13

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Solution

The fourth proportional to 110,716.97, 166,101.82 and 35,837.13 is: 53,764.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,716.97 : 166,101.82 = 35,837.13 : x
  2. Step 2: Convert to fraction form
    110,716.97/166,101.82 = 35,837.13/x
  3. Step 3: Cross multiply
    110,716.97x = 166,101.82 × 35,837.13
  4. Step 4: Simplify right side
    110,716.97x = 5,952,612,516.58
  5. Step 5: Solve for x
    x = 5,952,612,516.58/110,716.97
  6. Step 6: Final answer
    x = 53,764.23

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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.