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Finding the Fourth Proportional to 33,186.98, 49,785.16 and 12,408.50

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Solution

The fourth proportional to 33,186.98, 49,785.16 and 12,408.50 is: 18,614.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,186.98 : 49,785.16 = 12,408.50 : x
  2. Step 2: Convert to fraction form
    33,186.98/49,785.16 = 12,408.50/x
  3. Step 3: Cross multiply
    33,186.98x = 49,785.16 × 12,408.50
  4. Step 4: Simplify right side
    33,186.98x = 617,759,157.86
  5. Step 5: Solve for x
    x = 617,759,157.86/33,186.98
  6. Step 6: Final answer
    x = 18,614.50

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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.