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Finding the Fourth Proportional to 31,721.60, 47,578.60 and 8,349.88

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Solution

The fourth proportional to 31,721.60, 47,578.60 and 8,349.88 is: 12,523.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,721.60 : 47,578.60 = 8,349.88 : x
  2. Step 2: Convert to fraction form
    31,721.60/47,578.60 = 8,349.88/x
  3. Step 3: Cross multiply
    31,721.60x = 47,578.60 × 8,349.88
  4. Step 4: Simplify right side
    31,721.60x = 397,275,600.57
  5. Step 5: Solve for x
    x = 397,275,600.57/31,721.60
  6. Step 6: Final answer
    x = 12,523.82

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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.