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Finding the Fourth Proportional to 31,611.75, 47,423.77 and 9,424.64

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Solution

The fourth proportional to 31,611.75, 47,423.77 and 9,424.64 is: 14,138.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,611.75 : 47,423.77 = 9,424.64 : x
  2. Step 2: Convert to fraction form
    31,611.75/47,423.77 = 9,424.64/x
  3. Step 3: Cross multiply
    31,611.75x = 47,423.77 × 9,424.64
  4. Step 4: Simplify right side
    31,611.75x = 446,951,722.57
  5. Step 5: Solve for x
    x = 446,951,722.57/31,611.75
  6. Step 6: Final answer
    x = 14,138.78

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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.