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Finding the Fourth Proportional to 41,780, 57,656.40 and 22,917.17

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Solution

The fourth proportional to 41,780, 57,656.40 and 22,917.17 is: 31,625.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,780 : 57,656.40 = 22,917.17 : x
  2. Step 2: Convert to fraction form
    41,780/57,656.40 = 22,917.17/x
  3. Step 3: Cross multiply
    41,780x = 57,656.40 × 22,917.17
  4. Step 4: Simplify right side
    41,780x = 1,321,321,520.39
  5. Step 5: Solve for x
    x = 1,321,321,520.39/41,780
  6. Step 6: Final answer
    x = 31,625.69

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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.