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Finding the Fourth Proportional to 51,514.92, 71,079.66 and 30,286.44

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Solution

The fourth proportional to 51,514.92, 71,079.66 and 30,286.44 is: 41,788.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,514.92 : 71,079.66 = 30,286.44 : x
  2. Step 2: Convert to fraction form
    51,514.92/71,079.66 = 30,286.44/x
  3. Step 3: Cross multiply
    51,514.92x = 71,079.66 × 30,286.44
  4. Step 4: Simplify right side
    51,514.92x = 2,152,749,857.81
  5. Step 5: Solve for x
    x = 2,152,749,857.81/51,514.92
  6. Step 6: Final answer
    x = 41,788.86

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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.