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Finding the Fourth Proportional to 31,847.72, 43,950 and 17,508.47

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Solution

The fourth proportional to 31,847.72, 43,950 and 17,508.47 is: 24,161.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,847.72 : 43,950 = 17,508.47 : x
  2. Step 2: Convert to fraction form
    31,847.72/43,950 = 17,508.47/x
  3. Step 3: Cross multiply
    31,847.72x = 43,950 × 17,508.47
  4. Step 4: Simplify right side
    31,847.72x = 769,497,256.50
  5. Step 5: Solve for x
    x = 769,497,256.50/31,847.72
  6. Step 6: Final answer
    x = 24,161.77

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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.