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Finding the Fourth Proportional to 33,641.16, 50,462.90 and 17,824.80

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Solution

The fourth proportional to 33,641.16, 50,462.90 and 17,824.80 is: 26,737.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,641.16 : 50,462.90 = 17,824.80 : x
  2. Step 2: Convert to fraction form
    33,641.16/50,462.90 = 17,824.80/x
  3. Step 3: Cross multiply
    33,641.16x = 50,462.90 × 17,824.80
  4. Step 4: Simplify right side
    33,641.16x = 899,491,099.92
  5. Step 5: Solve for x
    x = 899,491,099.92/33,641.16
  6. Step 6: Final answer
    x = 26,737.81

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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.