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Finding the Fourth Proportional to 51,863.42, 71,558.88 and 29,198

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Solution

The fourth proportional to 51,863.42, 71,558.88 and 29,198 is: 40,286.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,863.42 : 71,558.88 = 29,198 : x
  2. Step 2: Convert to fraction form
    51,863.42/71,558.88 = 29,198/x
  3. Step 3: Cross multiply
    51,863.42x = 71,558.88 × 29,198
  4. Step 4: Simplify right side
    51,863.42x = 2,089,376,178.24
  5. Step 5: Solve for x
    x = 2,089,376,178.24/51,863.42
  6. Step 6: Final answer
    x = 40,286.12

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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.