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Finding the Fourth Proportional to 41,128.36, 56,754.84 and 23,227

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Solution

The fourth proportional to 41,128.36, 56,754.84 and 23,227 is: 32,051.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,128.36 : 56,754.84 = 23,227 : x
  2. Step 2: Convert to fraction form
    41,128.36/56,754.84 = 23,227/x
  3. Step 3: Cross multiply
    41,128.36x = 56,754.84 × 23,227
  4. Step 4: Simplify right side
    41,128.36x = 1,318,244,668.68
  5. Step 5: Solve for x
    x = 1,318,244,668.68/41,128.36
  6. Step 6: Final answer
    x = 32,051.96

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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.