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Finding the Fourth Proportional to 31,722.96, 47,591.48 and 10,662.32

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Solution

The fourth proportional to 31,722.96, 47,591.48 and 10,662.32 is: 15,995.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,722.96 : 47,591.48 = 10,662.32 : x
  2. Step 2: Convert to fraction form
    31,722.96/47,591.48 = 10,662.32/x
  3. Step 3: Cross multiply
    31,722.96x = 47,591.48 × 10,662.32
  4. Step 4: Simplify right side
    31,722.96x = 507,435,589.03
  5. Step 5: Solve for x
    x = 507,435,589.03/31,722.96
  6. Step 6: Final answer
    x = 15,995.85

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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.