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Finding the Fourth Proportional to 31,850.38, 43,951.71 and 17,702.38

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Solution

The fourth proportional to 31,850.38, 43,951.71 and 17,702.38 is: 24,428.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,850.38 : 43,951.71 = 17,702.38 : x
  2. Step 2: Convert to fraction form
    31,850.38/43,951.71 = 17,702.38/x
  3. Step 3: Cross multiply
    31,850.38x = 43,951.71 × 17,702.38
  4. Step 4: Simplify right side
    31,850.38x = 778,049,872.07
  5. Step 5: Solve for x
    x = 778,049,872.07/31,850.38
  6. Step 6: Final answer
    x = 24,428.28

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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.