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Finding the Fourth Proportional to 31,963.34, 47,944.96 and 8,589.78

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Solution

The fourth proportional to 31,963.34, 47,944.96 and 8,589.78 is: 12,884.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,963.34 : 47,944.96 = 8,589.78 : x
  2. Step 2: Convert to fraction form
    31,963.34/47,944.96 = 8,589.78/x
  3. Step 3: Cross multiply
    31,963.34x = 47,944.96 × 8,589.78
  4. Step 4: Simplify right side
    31,963.34x = 411,836,658.51
  5. Step 5: Solve for x
    x = 411,836,658.51/31,963.34
  6. Step 6: Final answer
    x = 12,884.66

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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.