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Finding the Fourth Proportional to 31,650.72, 47,474.34 and 9,464.28

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Solution

The fourth proportional to 31,650.72, 47,474.34 and 9,464.28 is: 14,195.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,650.72 : 47,474.34 = 9,464.28 : x
  2. Step 2: Convert to fraction form
    31,650.72/47,474.34 = 9,464.28/x
  3. Step 3: Cross multiply
    31,650.72x = 47,474.34 × 9,464.28
  4. Step 4: Simplify right side
    31,650.72x = 449,310,446.58
  5. Step 5: Solve for x
    x = 449,310,446.58/31,650.72
  6. Step 6: Final answer
    x = 14,195.90

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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.