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Finding the Fourth Proportional to 31,104.89, 46,647.77 and 8,912.32

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Solution

The fourth proportional to 31,104.89, 46,647.77 and 8,912.32 is: 13,365.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,104.89 : 46,647.77 = 8,912.32 : x
  2. Step 2: Convert to fraction form
    31,104.89/46,647.77 = 8,912.32/x
  3. Step 3: Cross multiply
    31,104.89x = 46,647.77 × 8,912.32
  4. Step 4: Simplify right side
    31,104.89x = 415,739,575.73
  5. Step 5: Solve for x
    x = 415,739,575.73/31,104.89
  6. Step 6: Final answer
    x = 13,365.73

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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.