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Finding the Fourth Proportional to 31,958.71, 47,944.91 and 9,773.73

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Solution

The fourth proportional to 31,958.71, 47,944.91 and 9,773.73 is: 14,662.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,958.71 : 47,944.91 = 9,773.73 : x
  2. Step 2: Convert to fraction form
    31,958.71/47,944.91 = 9,773.73/x
  3. Step 3: Cross multiply
    31,958.71x = 47,944.91 × 9,773.73
  4. Step 4: Simplify right side
    31,958.71x = 468,600,629.65
  5. Step 5: Solve for x
    x = 468,600,629.65/31,958.71
  6. Step 6: Final answer
    x = 14,662.69

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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.