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Finding the Fourth Proportional to 31,105.39, 46,648.51 and 8,912.82

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Solution

The fourth proportional to 31,105.39, 46,648.51 and 8,912.82 is: 13,366.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,105.39 : 46,648.51 = 8,912.82 : x
  2. Step 2: Convert to fraction form
    31,105.39/46,648.51 = 8,912.82/x
  3. Step 3: Cross multiply
    31,105.39x = 46,648.51 × 8,912.82
  4. Step 4: Simplify right side
    31,105.39x = 415,769,772.90
  5. Step 5: Solve for x
    x = 415,769,772.90/31,105.39
  6. Step 6: Final answer
    x = 13,366.49

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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.