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Finding the Fourth Proportional to 41,405.88, 57,082.69 and 27,955.83

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Solution

The fourth proportional to 41,405.88, 57,082.69 and 27,955.83 is: 38,540.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,405.88 : 57,082.69 = 27,955.83 : x
  2. Step 2: Convert to fraction form
    41,405.88/57,082.69 = 27,955.83/x
  3. Step 3: Cross multiply
    41,405.88x = 57,082.69 × 27,955.83
  4. Step 4: Simplify right side
    41,405.88x = 1,595,794,226.59
  5. Step 5: Solve for x
    x = 1,595,794,226.59/41,405.88
  6. Step 6: Final answer
    x = 38,540.28

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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.