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Finding the Fourth Proportional to 31,754.97, 47,632.48 and 8,064.29

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Solution

The fourth proportional to 31,754.97, 47,632.48 and 8,064.29 is: 12,096.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,754.97 : 47,632.48 = 8,064.29 : x
  2. Step 2: Convert to fraction form
    31,754.97/47,632.48 = 8,064.29/x
  3. Step 3: Cross multiply
    31,754.97x = 47,632.48 × 8,064.29
  4. Step 4: Simplify right side
    31,754.97x = 384,122,132.14
  5. Step 5: Solve for x
    x = 384,122,132.14/31,754.97
  6. Step 6: Final answer
    x = 12,096.44

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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.