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Finding the Fourth Proportional to 41,431.96, 57,157.90 and 27,998.32

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Solution

The fourth proportional to 41,431.96, 57,157.90 and 27,998.32 is: 38,625.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,431.96 : 57,157.90 = 27,998.32 : x
  2. Step 2: Convert to fraction form
    41,431.96/57,157.90 = 27,998.32/x
  3. Step 3: Cross multiply
    41,431.96x = 57,157.90 × 27,998.32
  4. Step 4: Simplify right side
    41,431.96x = 1,600,325,174.73
  5. Step 5: Solve for x
    x = 1,600,325,174.73/41,431.96
  6. Step 6: Final answer
    x = 38,625.38

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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.