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Finding the Fourth Proportional to 31,839.25, 47,758.88 and 9,951.25

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Solution

The fourth proportional to 31,839.25, 47,758.88 and 9,951.25 is: 14,926.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,839.25 : 47,758.88 = 9,951.25 : x
  2. Step 2: Convert to fraction form
    31,839.25/47,758.88 = 9,951.25/x
  3. Step 3: Cross multiply
    31,839.25x = 47,758.88 × 9,951.25
  4. Step 4: Simplify right side
    31,839.25x = 475,260,554.60
  5. Step 5: Solve for x
    x = 475,260,554.60/31,839.25
  6. Step 6: Final answer
    x = 14,926.88

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1.5x scale

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.