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Finding the Fourth Proportional to 31,305.67, 46,958.43 and 7,932.04

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Solution

The fourth proportional to 31,305.67, 46,958.43 and 7,932.04 is: 11,898.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,305.67 : 46,958.43 = 7,932.04 : x
  2. Step 2: Convert to fraction form
    31,305.67/46,958.43 = 7,932.04/x
  3. Step 3: Cross multiply
    31,305.67x = 46,958.43 × 7,932.04
  4. Step 4: Simplify right side
    31,305.67x = 372,476,145.10
  5. Step 5: Solve for x
    x = 372,476,145.10/31,305.67
  6. Step 6: Final answer
    x = 11,898.04

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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.