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Finding the Fourth Proportional to 41,410.41, 57,142.07 and 23,263.17

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Solution

The fourth proportional to 41,410.41, 57,142.07 and 23,263.17 is: 32,100.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,410.41 : 57,142.07 = 23,263.17 : x
  2. Step 2: Convert to fraction form
    41,410.41/57,142.07 = 23,263.17/x
  3. Step 3: Cross multiply
    41,410.41x = 57,142.07 × 23,263.17
  4. Step 4: Simplify right side
    41,410.41x = 1,329,305,572.25
  5. Step 5: Solve for x
    x = 1,329,305,572.25/41,410.41
  6. Step 6: Final answer
    x = 32,100.76

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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.