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Finding the Fourth Proportional to 36,832, 55,248.16 and 12,208

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Solution

The fourth proportional to 36,832, 55,248.16 and 12,208 is: 18,312.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,832 : 55,248.16 = 12,208 : x
  2. Step 2: Convert to fraction form
    36,832/55,248.16 = 12,208/x
  3. Step 3: Cross multiply
    36,832x = 55,248.16 × 12,208
  4. Step 4: Simplify right side
    36,832x = 674,469,537.28
  5. Step 5: Solve for x
    x = 674,469,537.28/36,832
  6. Step 6: Final answer
    x = 18,312.05

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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.