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Finding the Fourth Proportional to 41,781, 57,657.78 and 22,918.17

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Solution

The fourth proportional to 41,781, 57,657.78 and 22,918.17 is: 31,627.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,781 : 57,657.78 = 22,918.17 : x
  2. Step 2: Convert to fraction form
    41,781/57,657.78 = 22,918.17/x
  3. Step 3: Cross multiply
    41,781x = 57,657.78 × 22,918.17
  4. Step 4: Simplify right side
    41,781x = 1,321,410,803.86
  5. Step 5: Solve for x
    x = 1,321,410,803.86/41,781
  6. Step 6: Final answer
    x = 31,627.07

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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.