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Finding the Fourth Proportional to 49,161, 73,741.77 and 12,225

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Solution

The fourth proportional to 49,161, 73,741.77 and 12,225 is: 18,337.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,161 : 73,741.77 = 12,225 : x
  2. Step 2: Convert to fraction form
    49,161/73,741.77 = 12,225/x
  3. Step 3: Cross multiply
    49,161x = 73,741.77 × 12,225
  4. Step 4: Simplify right side
    49,161x = 901,493,138.25
  5. Step 5: Solve for x
    x = 901,493,138.25/49,161
  6. Step 6: Final answer
    x = 18,337.57

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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.