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Finding the Fourth Proportional to 31,696.38, 43,740.83 and 17,355.95

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Solution

The fourth proportional to 31,696.38, 43,740.83 and 17,355.95 is: 23,951.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,696.38 : 43,740.83 = 17,355.95 : x
  2. Step 2: Convert to fraction form
    31,696.38/43,740.83 = 17,355.95/x
  3. Step 3: Cross multiply
    31,696.38x = 43,740.83 × 17,355.95
  4. Step 4: Simplify right side
    31,696.38x = 759,163,658.44
  5. Step 5: Solve for x
    x = 759,163,658.44/31,696.38
  6. Step 6: Final answer
    x = 23,951.12

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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.