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Finding the Fourth Proportional to 31,807.91, 43,893.45 and 17,661.67

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Solution

The fourth proportional to 31,807.91, 43,893.45 and 17,661.67 is: 24,372.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,807.91 : 43,893.45 = 17,661.67 : x
  2. Step 2: Convert to fraction form
    31,807.91/43,893.45 = 17,661.67/x
  3. Step 3: Cross multiply
    31,807.91x = 43,893.45 × 17,661.67
  4. Step 4: Simplify right side
    31,807.91x = 775,231,519.33
  5. Step 5: Solve for x
    x = 775,231,519.33/31,807.91
  6. Step 6: Final answer
    x = 24,372.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.