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Finding the Fourth Proportional to 31,773.75, 47,660.63 and 10,997.25

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Solution

The fourth proportional to 31,773.75, 47,660.63 and 10,997.25 is: 16,495.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,773.75 : 47,660.63 = 10,997.25 : x
  2. Step 2: Convert to fraction form
    31,773.75/47,660.63 = 10,997.25/x
  3. Step 3: Cross multiply
    31,773.75x = 47,660.63 × 10,997.25
  4. Step 4: Simplify right side
    31,773.75x = 524,135,808.28
  5. Step 5: Solve for x
    x = 524,135,808.28/31,773.75
  6. Step 6: Final answer
    x = 16,495.88

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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.