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Finding the Fourth Proportional to 51,481.38, 71,044.83 and 30,261

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Solution

The fourth proportional to 51,481.38, 71,044.83 and 30,261 is: 41,760.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,481.38 : 71,044.83 = 30,261 : x
  2. Step 2: Convert to fraction form
    51,481.38/71,044.83 = 30,261/x
  3. Step 3: Cross multiply
    51,481.38x = 71,044.83 × 30,261
  4. Step 4: Simplify right side
    51,481.38x = 2,149,887,600.63
  5. Step 5: Solve for x
    x = 2,149,887,600.63/51,481.38
  6. Step 6: Final answer
    x = 41,760.49

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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.