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Finding the Fourth Proportional to 32,771.84, 49,157.78 and 8,147.84

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Solution

The fourth proportional to 32,771.84, 49,157.78 and 8,147.84 is: 12,221.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,771.84 : 49,157.78 = 8,147.84 : x
  2. Step 2: Convert to fraction form
    32,771.84/49,157.78 = 8,147.84/x
  3. Step 3: Cross multiply
    32,771.84x = 49,157.78 × 8,147.84
  4. Step 4: Simplify right side
    32,771.84x = 400,529,439.67
  5. Step 5: Solve for x
    x = 400,529,439.67/32,771.84
  6. Step 6: Final answer
    x = 12,221.76

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Similar ratio
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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.