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Finding the Fourth Proportional to 31,961.66, 44,107.13 and 17,814.20

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Solution

The fourth proportional to 31,961.66, 44,107.13 and 17,814.20 is: 24,583.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,961.66 : 44,107.13 = 17,814.20 : x
  2. Step 2: Convert to fraction form
    31,961.66/44,107.13 = 17,814.20/x
  3. Step 3: Cross multiply
    31,961.66x = 44,107.13 × 17,814.20
  4. Step 4: Simplify right side
    31,961.66x = 785,733,059.25
  5. Step 5: Solve for x
    x = 785,733,059.25/31,961.66
  6. Step 6: Final answer
    x = 24,583.62

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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.