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Finding the Fourth Proportional to 31,795.98, 47,694.30 and 9,609.54

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Solution

The fourth proportional to 31,795.98, 47,694.30 and 9,609.54 is: 14,414.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,795.98 : 47,694.30 = 9,609.54 : x
  2. Step 2: Convert to fraction form
    31,795.98/47,694.30 = 9,609.54/x
  3. Step 3: Cross multiply
    31,795.98x = 47,694.30 × 9,609.54
  4. Step 4: Simplify right side
    31,795.98x = 458,320,283.62
  5. Step 5: Solve for x
    x = 458,320,283.62/31,795.98
  6. Step 6: Final answer
    x = 14,414.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.