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Finding the Fourth Proportional to 51,680.84, 71,327.34 and 31,549.43

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Solution

The fourth proportional to 51,680.84, 71,327.34 and 31,549.43 is: 43,542.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,680.84 : 71,327.34 = 31,549.43 : x
  2. Step 2: Convert to fraction form
    51,680.84/71,327.34 = 31,549.43/x
  3. Step 3: Cross multiply
    51,680.84x = 71,327.34 × 31,549.43
  4. Step 4: Simplify right side
    51,680.84x = 2,250,336,563.78
  5. Step 5: Solve for x
    x = 2,250,336,563.78/51,680.84
  6. Step 6: Final answer
    x = 43,542.96

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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.