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Finding the Fourth Proportional to 29,905.37, 41,221.31 and 20,211.80

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Solution

The fourth proportional to 29,905.37, 41,221.31 and 20,211.80 is: 27,859.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,905.37 : 41,221.31 = 20,211.80 : x
  2. Step 2: Convert to fraction form
    29,905.37/41,221.31 = 20,211.80/x
  3. Step 3: Cross multiply
    29,905.37x = 41,221.31 × 20,211.80
  4. Step 4: Simplify right side
    29,905.37x = 833,156,566.29
  5. Step 5: Solve for x
    x = 833,156,566.29/29,905.37
  6. Step 6: Final answer
    x = 27,859.76

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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.