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Finding the Fourth Proportional to 31,906.04, 47,855.34 and 8,534.32

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Solution

The fourth proportional to 31,906.04, 47,855.34 and 8,534.32 is: 12,800.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,906.04 : 47,855.34 = 8,534.32 : x
  2. Step 2: Convert to fraction form
    31,906.04/47,855.34 = 8,534.32/x
  3. Step 3: Cross multiply
    31,906.04x = 47,855.34 × 8,534.32
  4. Step 4: Simplify right side
    31,906.04x = 408,412,785.27
  5. Step 5: Solve for x
    x = 408,412,785.27/31,906.04
  6. Step 6: Final answer
    x = 12,800.48

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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.