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Finding the Fourth Proportional to 51,728.40, 71,372.60 and 31,577.94

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Solution

The fourth proportional to 51,728.40, 71,372.60 and 31,577.94 is: 43,569.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,728.40 : 71,372.60 = 31,577.94 : x
  2. Step 2: Convert to fraction form
    51,728.40/71,372.60 = 31,577.94/x
  3. Step 3: Cross multiply
    51,728.40x = 71,372.60 × 31,577.94
  4. Step 4: Simplify right side
    51,728.40x = 2,253,799,680.44
  5. Step 5: Solve for x
    x = 2,253,799,680.44/51,728.40
  6. Step 6: Final answer
    x = 43,569.87

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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.