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Finding the Fourth Proportional to 51,080.52, 70,469.46 and 31,197

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Solution

The fourth proportional to 51,080.52, 70,469.46 and 31,197 is: 43,038.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,080.52 : 70,469.46 = 31,197 : x
  2. Step 2: Convert to fraction form
    51,080.52/70,469.46 = 31,197/x
  3. Step 3: Cross multiply
    51,080.52x = 70,469.46 × 31,197
  4. Step 4: Simplify right side
    51,080.52x = 2,198,435,743.62
  5. Step 5: Solve for x
    x = 2,198,435,743.62/51,080.52
  6. Step 6: Final answer
    x = 43,038.63

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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.