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Finding the Fourth Proportional to 31,163.69, 46,731.69 and 8,971.88

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Solution

The fourth proportional to 31,163.69, 46,731.69 and 8,971.88 is: 13,453.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,163.69 : 46,731.69 = 8,971.88 : x
  2. Step 2: Convert to fraction form
    31,163.69/46,731.69 = 8,971.88/x
  3. Step 3: Cross multiply
    31,163.69x = 46,731.69 × 8,971.88
  4. Step 4: Simplify right side
    31,163.69x = 419,270,881.22
  5. Step 5: Solve for x
    x = 419,270,881.22/31,163.69
  6. Step 6: Final answer
    x = 13,453.83

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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.