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Finding the Fourth Proportional to 27,481.50, 41,213.10 and 10,837.20

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Solution

The fourth proportional to 27,481.50, 41,213.10 and 10,837.20 is: 16,252.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,481.50 : 41,213.10 = 10,837.20 : x
  2. Step 2: Convert to fraction form
    27,481.50/41,213.10 = 10,837.20/x
  3. Step 3: Cross multiply
    27,481.50x = 41,213.10 × 10,837.20
  4. Step 4: Simplify right side
    27,481.50x = 446,634,607.32
  5. Step 5: Solve for x
    x = 446,634,607.32/27,481.50
  6. Step 6: Final answer
    x = 16,252.19

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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.