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Finding the Fourth Proportional to 41,825.26, 57,715.02 and 24,826.60

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Solution

The fourth proportional to 41,825.26, 57,715.02 and 24,826.60 is: 34,258.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,825.26 : 57,715.02 = 24,826.60 : x
  2. Step 2: Convert to fraction form
    41,825.26/57,715.02 = 24,826.60/x
  3. Step 3: Cross multiply
    41,825.26x = 57,715.02 × 24,826.60
  4. Step 4: Simplify right side
    41,825.26x = 1,432,867,571.24
  5. Step 5: Solve for x
    x = 1,432,867,571.24/41,825.26
  6. Step 6: Final answer
    x = 34,258.43

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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.