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Finding the Fourth Proportional to 31,943.14, 47,911.04 and 8,567.74

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Solution

The fourth proportional to 31,943.14, 47,911.04 and 8,567.74 is: 12,850.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,943.14 : 47,911.04 = 8,567.74 : x
  2. Step 2: Convert to fraction form
    31,943.14/47,911.04 = 8,567.74/x
  3. Step 3: Cross multiply
    31,943.14x = 47,911.04 × 8,567.74
  4. Step 4: Simplify right side
    31,943.14x = 410,489,333.85
  5. Step 5: Solve for x
    x = 410,489,333.85/31,943.14
  6. Step 6: Final answer
    x = 12,850.63

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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.