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Finding the Fourth Proportional to 31,997.93, 47,998.76 and 9,811.52

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Solution

The fourth proportional to 31,997.93, 47,998.76 and 9,811.52 is: 14,717.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,997.93 : 47,998.76 = 9,811.52 : x
  2. Step 2: Convert to fraction form
    31,997.93/47,998.76 = 9,811.52/x
  3. Step 3: Cross multiply
    31,997.93x = 47,998.76 × 9,811.52
  4. Step 4: Simplify right side
    31,997.93x = 470,940,793.72
  5. Step 5: Solve for x
    x = 470,940,793.72/31,997.93
  6. Step 6: Final answer
    x = 14,717.85

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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.