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Finding the Fourth Proportional to 41,546.80, 57,336.78 and 22,684

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Solution

The fourth proportional to 41,546.80, 57,336.78 and 22,684 is: 31,305.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,546.80 : 57,336.78 = 22,684 : x
  2. Step 2: Convert to fraction form
    41,546.80/57,336.78 = 22,684/x
  3. Step 3: Cross multiply
    41,546.80x = 57,336.78 × 22,684
  4. Step 4: Simplify right side
    41,546.80x = 1,300,627,517.52
  5. Step 5: Solve for x
    x = 1,300,627,517.52/41,546.80
  6. Step 6: Final answer
    x = 31,305.12

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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.