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Finding the Fourth Proportional to 31,625.92, 47,447.09 and 9,439.29

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Solution

The fourth proportional to 31,625.92, 47,447.09 and 9,439.29 is: 14,161.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,625.92 : 47,447.09 = 9,439.29 : x
  2. Step 2: Convert to fraction form
    31,625.92/47,447.09 = 9,439.29/x
  3. Step 3: Cross multiply
    31,625.92x = 47,447.09 × 9,439.29
  4. Step 4: Simplify right side
    31,625.92x = 447,866,830.37
  5. Step 5: Solve for x
    x = 447,866,830.37/31,625.92
  6. Step 6: Final answer
    x = 14,161.39

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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.