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Finding the Fourth Proportional to 73,915.26, 110,951.84 and 31,816.20

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Solution

The fourth proportional to 73,915.26, 110,951.84 and 31,816.20 is: 47,758.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,915.26 : 110,951.84 = 31,816.20 : x
  2. Step 2: Convert to fraction form
    73,915.26/110,951.84 = 31,816.20/x
  3. Step 3: Cross multiply
    73,915.26x = 110,951.84 × 31,816.20
  4. Step 4: Simplify right side
    73,915.26x = 3,530,065,772.73
  5. Step 5: Solve for x
    x = 3,530,065,772.73/73,915.26
  6. Step 6: Final answer
    x = 47,758.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.