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Finding the Fourth Proportional to 31,096.89, 46,645.14 and 8,910.30

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Solution

The fourth proportional to 31,096.89, 46,645.14 and 8,910.30 is: 13,365.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,096.89 : 46,645.14 = 8,910.30 : x
  2. Step 2: Convert to fraction form
    31,096.89/46,645.14 = 8,910.30/x
  3. Step 3: Cross multiply
    31,096.89x = 46,645.14 × 8,910.30
  4. Step 4: Simplify right side
    31,096.89x = 415,622,190.94
  5. Step 5: Solve for x
    x = 415,622,190.94/31,096.89
  6. Step 6: Final answer
    x = 13,365.39

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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.