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Finding the Fourth Proportional to 37,181, 51,310.26 and 20,414.60

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Solution

The fourth proportional to 37,181, 51,310.26 and 20,414.60 is: 28,172.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,181 : 51,310.26 = 20,414.60 : x
  2. Step 2: Convert to fraction form
    37,181/51,310.26 = 20,414.60/x
  3. Step 3: Cross multiply
    37,181x = 51,310.26 × 20,414.60
  4. Step 4: Simplify right side
    37,181x = 1,047,478,433.80
  5. Step 5: Solve for x
    x = 1,047,478,433.80/37,181
  6. Step 6: Final answer
    x = 28,172.41

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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.