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Finding the Fourth Proportional to 31,364.38, 43,282.78 and 17,216.92

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Solution

The fourth proportional to 31,364.38, 43,282.78 and 17,216.92 is: 23,759.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,364.38 : 43,282.78 = 17,216.92 : x
  2. Step 2: Convert to fraction form
    31,364.38/43,282.78 = 17,216.92/x
  3. Step 3: Cross multiply
    31,364.38x = 43,282.78 × 17,216.92
  4. Step 4: Simplify right side
    31,364.38x = 745,196,160.64
  5. Step 5: Solve for x
    x = 745,196,160.64/31,364.38
  6. Step 6: Final answer
    x = 23,759.31

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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.