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Finding the Fourth Proportional to 41,800.64, 57,684 and 23,896.64

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Solution

The fourth proportional to 41,800.64, 57,684 and 23,896.64 is: 32,976.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,800.64 : 57,684 = 23,896.64 : x
  2. Step 2: Convert to fraction form
    41,800.64/57,684 = 23,896.64/x
  3. Step 3: Cross multiply
    41,800.64x = 57,684 × 23,896.64
  4. Step 4: Simplify right side
    41,800.64x = 1,378,453,781.76
  5. Step 5: Solve for x
    x = 1,378,453,781.76/41,800.64
  6. Step 6: Final answer
    x = 32,976.86

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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.