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Finding the Fourth Proportional to 41,869, 57,781.92 and 23,969.80

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Solution

The fourth proportional to 41,869, 57,781.92 and 23,969.80 is: 33,079.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,869 : 57,781.92 = 23,969.80 : x
  2. Step 2: Convert to fraction form
    41,869/57,781.92 = 23,969.80/x
  3. Step 3: Cross multiply
    41,869x = 57,781.92 × 23,969.80
  4. Step 4: Simplify right side
    41,869x = 1,385,021,066.02
  5. Step 5: Solve for x
    x = 1,385,021,066.02/41,869
  6. Step 6: Final answer
    x = 33,079.87

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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.