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Finding the Fourth Proportional to 33,161.15, 49,741.86 and 8,201.12

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Solution

The fourth proportional to 33,161.15, 49,741.86 and 8,201.12 is: 12,301.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,161.15 : 49,741.86 = 8,201.12 : x
  2. Step 2: Convert to fraction form
    33,161.15/49,741.86 = 8,201.12/x
  3. Step 3: Cross multiply
    33,161.15x = 49,741.86 × 8,201.12
  4. Step 4: Simplify right side
    33,161.15x = 407,939,077.28
  5. Step 5: Solve for x
    x = 407,939,077.28/33,161.15
  6. Step 6: Final answer
    x = 12,301.72

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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.