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Finding the Fourth Proportional to 41,316, 57,015.90 and 23,414.41

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Solution

The fourth proportional to 41,316, 57,015.90 and 23,414.41 is: 32,311.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,316 : 57,015.90 = 23,414.41 : x
  2. Step 2: Convert to fraction form
    41,316/57,015.90 = 23,414.41/x
  3. Step 3: Cross multiply
    41,316x = 57,015.90 × 23,414.41
  4. Step 4: Simplify right side
    41,316x = 1,334,993,659.12
  5. Step 5: Solve for x
    x = 1,334,993,659.12/41,316
  6. Step 6: Final answer
    x = 32,311.78

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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.