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Finding the Fourth Proportional to 31,382.67, 43,310.21 and 17,235.66

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Solution

The fourth proportional to 31,382.67, 43,310.21 and 17,235.66 is: 23,786.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,382.67 : 43,310.21 = 17,235.66 : x
  2. Step 2: Convert to fraction form
    31,382.67/43,310.21 = 17,235.66/x
  3. Step 3: Cross multiply
    31,382.67x = 43,310.21 × 17,235.66
  4. Step 4: Simplify right side
    31,382.67x = 746,479,967.91
  5. Step 5: Solve for x
    x = 746,479,967.91/31,382.67
  6. Step 6: Final answer
    x = 23,786.38

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Why These Related Problems?

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