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Finding the Fourth Proportional to 41,859.66, 57,766.32 and 22,996.77

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Solution

The fourth proportional to 41,859.66, 57,766.32 and 22,996.77 is: 31,735.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,859.66 : 57,766.32 = 22,996.77 : x
  2. Step 2: Convert to fraction form
    41,859.66/57,766.32 = 22,996.77/x
  3. Step 3: Cross multiply
    41,859.66x = 57,766.32 × 22,996.77
  4. Step 4: Simplify right side
    41,859.66x = 1,328,438,774.79
  5. Step 5: Solve for x
    x = 1,328,438,774.79/41,859.66
  6. Step 6: Final answer
    x = 31,735.54

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