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Finding the Fourth Proportional to 31,692.89, 47,535.62 and 8,321.15

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Solution

The fourth proportional to 31,692.89, 47,535.62 and 8,321.15 is: 12,480.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,692.89 : 47,535.62 = 8,321.15 : x
  2. Step 2: Convert to fraction form
    31,692.89/47,535.62 = 8,321.15/x
  3. Step 3: Cross multiply
    31,692.89x = 47,535.62 × 8,321.15
  4. Step 4: Simplify right side
    31,692.89x = 395,550,745.08
  5. Step 5: Solve for x
    x = 395,550,745.08/31,692.89
  6. Step 6: Final answer
    x = 12,480.74

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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.