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Finding the Fourth Proportional to 51,076.52, 70,463.94 and 31,193

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Solution

The fourth proportional to 51,076.52, 70,463.94 and 31,193 is: 43,033.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,076.52 : 70,463.94 = 31,193 : x
  2. Step 2: Convert to fraction form
    51,076.52/70,463.94 = 31,193/x
  3. Step 3: Cross multiply
    51,076.52x = 70,463.94 × 31,193
  4. Step 4: Simplify right side
    51,076.52x = 2,197,981,680.42
  5. Step 5: Solve for x
    x = 2,197,981,680.42/51,076.52
  6. Step 6: Final answer
    x = 43,033.11

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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.