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Finding the Fourth Proportional to 31,604.09, 47,408.85 and 8,230.50

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Solution

The fourth proportional to 31,604.09, 47,408.85 and 8,230.50 is: 12,346.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,604.09 : 47,408.85 = 8,230.50 : x
  2. Step 2: Convert to fraction form
    31,604.09/47,408.85 = 8,230.50/x
  3. Step 3: Cross multiply
    31,604.09x = 47,408.85 × 8,230.50
  4. Step 4: Simplify right side
    31,604.09x = 390,198,539.93
  5. Step 5: Solve for x
    x = 390,198,539.93/31,604.09
  6. Step 6: Final answer
    x = 12,346.46

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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.