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Finding the Fourth Proportional to 31,180.46, 43,029.03 and 16,840.30

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Solution

The fourth proportional to 31,180.46, 43,029.03 and 16,840.30 is: 23,239.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,180.46 : 43,029.03 = 16,840.30 : x
  2. Step 2: Convert to fraction form
    31,180.46/43,029.03 = 16,840.30/x
  3. Step 3: Cross multiply
    31,180.46x = 43,029.03 × 16,840.30
  4. Step 4: Simplify right side
    31,180.46x = 724,621,715.44
  5. Step 5: Solve for x
    x = 724,621,715.44/31,180.46
  6. Step 6: Final answer
    x = 23,239.61

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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.