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Finding the Fourth Proportional to 41,468.64, 57,227.94 and 23,564.40

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Solution

The fourth proportional to 41,468.64, 57,227.94 and 23,564.40 is: 32,519.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,468.64 : 57,227.94 = 23,564.40 : x
  2. Step 2: Convert to fraction form
    41,468.64/57,227.94 = 23,564.40/x
  3. Step 3: Cross multiply
    41,468.64x = 57,227.94 × 23,564.40
  4. Step 4: Simplify right side
    41,468.64x = 1,348,542,069.34
  5. Step 5: Solve for x
    x = 1,348,542,069.34/41,468.64
  6. Step 6: Final answer
    x = 32,519.56

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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.