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Finding the Fourth Proportional to 41,114.92, 56,738.50 and 23,213.64

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Solution

The fourth proportional to 41,114.92, 56,738.50 and 23,213.64 is: 32,034.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,114.92 : 56,738.50 = 23,213.64 : x
  2. Step 2: Convert to fraction form
    41,114.92/56,738.50 = 23,213.64/x
  3. Step 3: Cross multiply
    41,114.92x = 56,738.50 × 23,213.64
  4. Step 4: Simplify right side
    41,114.92x = 1,317,107,113.14
  5. Step 5: Solve for x
    x = 1,317,107,113.14/41,114.92
  6. Step 6: Final answer
    x = 32,034.77

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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.