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Finding the Fourth Proportional to 31,308.38, 46,965.30 and 7,934.82

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Solution

The fourth proportional to 31,308.38, 46,965.30 and 7,934.82 is: 11,902.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,308.38 : 46,965.30 = 7,934.82 : x
  2. Step 2: Convert to fraction form
    31,308.38/46,965.30 = 7,934.82/x
  3. Step 3: Cross multiply
    31,308.38x = 46,965.30 × 7,934.82
  4. Step 4: Simplify right side
    31,308.38x = 372,661,201.75
  5. Step 5: Solve for x
    x = 372,661,201.75/31,308.38
  6. Step 6: Final answer
    x = 11,902.92

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