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Finding the Fourth Proportional to 31,285.12, 43,162.68 and 17,846.68

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Solution

The fourth proportional to 31,285.12, 43,162.68 and 17,846.68 is: 24,622.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,285.12 : 43,162.68 = 17,846.68 : x
  2. Step 2: Convert to fraction form
    31,285.12/43,162.68 = 17,846.68/x
  3. Step 3: Cross multiply
    31,285.12x = 43,162.68 × 17,846.68
  4. Step 4: Simplify right side
    31,285.12x = 770,310,537.90
  5. Step 5: Solve for x
    x = 770,310,537.90/31,285.12
  6. Step 6: Final answer
    x = 24,622.27

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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.