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Finding the Fourth Proportional to 31,653.57, 43,680.15 and 17,310.55

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Solution

The fourth proportional to 31,653.57, 43,680.15 and 17,310.55 is: 23,887.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,653.57 : 43,680.15 = 17,310.55 : x
  2. Step 2: Convert to fraction form
    31,653.57/43,680.15 = 17,310.55/x
  3. Step 3: Cross multiply
    31,653.57x = 43,680.15 × 17,310.55
  4. Step 4: Simplify right side
    31,653.57x = 756,127,311.38
  5. Step 5: Solve for x
    x = 756,127,311.38/31,653.57
  6. Step 6: Final answer
    x = 23,887.58

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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.