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Finding the Fourth Proportional to 51,517, 71,093.46 and 29,161

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Solution

The fourth proportional to 51,517, 71,093.46 and 29,161 is: 40,242.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,517 : 71,093.46 = 29,161 : x
  2. Step 2: Convert to fraction form
    51,517/71,093.46 = 29,161/x
  3. Step 3: Cross multiply
    51,517x = 71,093.46 × 29,161
  4. Step 4: Simplify right side
    51,517x = 2,073,156,387.06
  5. Step 5: Solve for x
    x = 2,073,156,387.06/51,517
  6. Step 6: Final answer
    x = 40,242.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.