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Finding the Fourth Proportional to 31,796.52, 47,694.76 and 8,423.16

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Solution

The fourth proportional to 31,796.52, 47,694.76 and 8,423.16 is: 12,634.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,796.52 : 47,694.76 = 8,423.16 : x
  2. Step 2: Convert to fraction form
    31,796.52/47,694.76 = 8,423.16/x
  3. Step 3: Cross multiply
    31,796.52x = 47,694.76 × 8,423.16
  4. Step 4: Simplify right side
    31,796.52x = 401,740,594.64
  5. Step 5: Solve for x
    x = 401,740,594.64/31,796.52
  6. Step 6: Final answer
    x = 12,634.73

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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.