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Finding the Fourth Proportional to 29,921.22, 41,311.11 and 23,102.85

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Solution

The fourth proportional to 29,921.22, 41,311.11 and 23,102.85 is: 31,897.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,921.22 : 41,311.11 = 23,102.85 : x
  2. Step 2: Convert to fraction form
    29,921.22/41,311.11 = 23,102.85/x
  3. Step 3: Cross multiply
    29,921.22x = 41,311.11 × 23,102.85
  4. Step 4: Simplify right side
    29,921.22x = 954,404,377.66
  5. Step 5: Solve for x
    x = 954,404,377.66/29,921.22
  6. Step 6: Final answer
    x = 31,897.24

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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.