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Finding the Fourth Proportional to 41,878.70, 57,769.21 and 25,734.80

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Solution

The fourth proportional to 41,878.70, 57,769.21 and 25,734.80 is: 35,499.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,878.70 : 57,769.21 = 25,734.80 : x
  2. Step 2: Convert to fraction form
    41,878.70/57,769.21 = 25,734.80/x
  3. Step 3: Cross multiply
    41,878.70x = 57,769.21 × 25,734.80
  4. Step 4: Simplify right side
    41,878.70x = 1,486,679,197.05
  5. Step 5: Solve for x
    x = 1,486,679,197.05/41,878.70
  6. Step 6: Final answer
    x = 35,499.65

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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.