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Finding the Fourth Proportional to 66,175.30, 91,322.81 and 35,961.09

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Solution

The fourth proportional to 66,175.30, 91,322.81 and 35,961.09 is: 49,626.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,175.30 : 91,322.81 = 35,961.09 : x
  2. Step 2: Convert to fraction form
    66,175.30/91,322.81 = 35,961.09/x
  3. Step 3: Cross multiply
    66,175.30x = 91,322.81 × 35,961.09
  4. Step 4: Simplify right side
    66,175.30x = 3,284,067,789.46
  5. Step 5: Solve for x
    x = 3,284,067,789.46/66,175.30
  6. Step 6: Final answer
    x = 49,626.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.