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Finding the Fourth Proportional to 37,639.50, 56,481.12 and 16,863

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Solution

The fourth proportional to 37,639.50, 56,481.12 and 16,863 is: 25,304.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,639.50 : 56,481.12 = 16,863 : x
  2. Step 2: Convert to fraction form
    37,639.50/56,481.12 = 16,863/x
  3. Step 3: Cross multiply
    37,639.50x = 56,481.12 × 16,863
  4. Step 4: Simplify right side
    37,639.50x = 952,441,126.56
  5. Step 5: Solve for x
    x = 952,441,126.56/37,639.50
  6. Step 6: Final answer
    x = 25,304.30

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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.