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Finding the Fourth Proportional to 51,310.32, 76,979.16 and 16,250.64

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Solution

The fourth proportional to 51,310.32, 76,979.16 and 16,250.64 is: 24,380.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,310.32 : 76,979.16 = 16,250.64 : x
  2. Step 2: Convert to fraction form
    51,310.32/76,979.16 = 16,250.64/x
  3. Step 3: Cross multiply
    51,310.32x = 76,979.16 × 16,250.64
  4. Step 4: Simplify right side
    51,310.32x = 1,250,960,616.66
  5. Step 5: Solve for x
    x = 1,250,960,616.66/51,310.32
  6. Step 6: Final answer
    x = 24,380.29

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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.