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Finding the Fourth Proportional to 51,958.62, 71,685.90 and 31,794.48

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Solution

The fourth proportional to 51,958.62, 71,685.90 and 31,794.48 is: 43,865.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,958.62 : 71,685.90 = 31,794.48 : x
  2. Step 2: Convert to fraction form
    51,958.62/71,685.90 = 31,794.48/x
  3. Step 3: Cross multiply
    51,958.62x = 71,685.90 × 31,794.48
  4. Step 4: Simplify right side
    51,958.62x = 2,279,215,913.83
  5. Step 5: Solve for x
    x = 2,279,215,913.83/51,958.62
  6. Step 6: Final answer
    x = 43,865.98

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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.