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Finding the Fourth Proportional to 41,855.11, 57,775.22 and 27,712.51

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Solution

The fourth proportional to 41,855.11, 57,775.22 and 27,712.51 is: 38,253.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,855.11 : 57,775.22 = 27,712.51 : x
  2. Step 2: Convert to fraction form
    41,855.11/57,775.22 = 27,712.51/x
  3. Step 3: Cross multiply
    41,855.11x = 57,775.22 × 27,712.51
  4. Step 4: Simplify right side
    41,855.11x = 1,601,096,223.44
  5. Step 5: Solve for x
    x = 1,601,096,223.44/41,855.11
  6. Step 6: Final answer
    x = 38,253.30

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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.