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Finding the Fourth Proportional to 31,451.88, 47,180.64 and 8,078.52

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Solution

The fourth proportional to 31,451.88, 47,180.64 and 8,078.52 is: 12,118.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,451.88 : 47,180.64 = 8,078.52 : x
  2. Step 2: Convert to fraction form
    31,451.88/47,180.64 = 8,078.52/x
  3. Step 3: Cross multiply
    31,451.88x = 47,180.64 × 8,078.52
  4. Step 4: Simplify right side
    31,451.88x = 381,149,743.85
  5. Step 5: Solve for x
    x = 381,149,743.85/31,451.88
  6. Step 6: Final answer
    x = 12,118.50

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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.