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Finding the Fourth Proportional to 32,997.70, 49,496.10 and 10,811.80

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Solution

The fourth proportional to 32,997.70, 49,496.10 and 10,811.80 is: 16,217.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,997.70 : 49,496.10 = 10,811.80 : x
  2. Step 2: Convert to fraction form
    32,997.70/49,496.10 = 10,811.80/x
  3. Step 3: Cross multiply
    32,997.70x = 49,496.10 × 10,811.80
  4. Step 4: Simplify right side
    32,997.70x = 535,141,933.98
  5. Step 5: Solve for x
    x = 535,141,933.98/32,997.70
  6. Step 6: Final answer
    x = 16,217.55

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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.