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Finding the Fourth Proportional to 41,858.82, 57,780.36 and 27,716.22

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Solution

The fourth proportional to 41,858.82, 57,780.36 and 27,716.22 is: 38,258.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,858.82 : 57,780.36 = 27,716.22 : x
  2. Step 2: Convert to fraction form
    41,858.82/57,780.36 = 27,716.22/x
  3. Step 3: Cross multiply
    41,858.82x = 57,780.36 × 27,716.22
  4. Step 4: Simplify right side
    41,858.82x = 1,601,453,169.44
  5. Step 5: Solve for x
    x = 1,601,453,169.44/41,858.82
  6. Step 6: Final answer
    x = 38,258.44

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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.