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Finding the Fourth Proportional to 30,993.41, 42,771.03 and 16,846.22

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Solution

The fourth proportional to 30,993.41, 42,771.03 and 16,846.22 is: 23,247.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,993.41 : 42,771.03 = 16,846.22 : x
  2. Step 2: Convert to fraction form
    30,993.41/42,771.03 = 16,846.22/x
  3. Step 3: Cross multiply
    30,993.41x = 42,771.03 × 16,846.22
  4. Step 4: Simplify right side
    30,993.41x = 720,530,181.01
  5. Step 5: Solve for x
    x = 720,530,181.01/30,993.41
  6. Step 6: Final answer
    x = 23,247.85

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.