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Finding the Fourth Proportional to 31,794.75, 47,630.07 and 15,131.88

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Solution

The fourth proportional to 31,794.75, 47,630.07 and 15,131.88 is: 22,668.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,794.75 : 47,630.07 = 15,131.88 : x
  2. Step 2: Convert to fraction form
    31,794.75/47,630.07 = 15,131.88/x
  3. Step 3: Cross multiply
    31,794.75x = 47,630.07 × 15,131.88
  4. Step 4: Simplify right side
    31,794.75x = 720,732,503.63
  5. Step 5: Solve for x
    x = 720,732,503.63/31,794.75
  6. Step 6: Final answer
    x = 22,668.29

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.