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Finding the Fourth Proportional to 31,906.33, 47,859.49 and 8,532.16

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Solution

The fourth proportional to 31,906.33, 47,859.49 and 8,532.16 is: 12,798.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,906.33 : 47,859.49 = 8,532.16 : x
  2. Step 2: Convert to fraction form
    31,906.33/47,859.49 = 8,532.16/x
  3. Step 3: Cross multiply
    31,906.33x = 47,859.49 × 8,532.16
  4. Step 4: Simplify right side
    31,906.33x = 408,344,826.20
  5. Step 5: Solve for x
    x = 408,344,826.20/31,906.33
  6. Step 6: Final answer
    x = 12,798.24

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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.