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Finding the Fourth Proportional to 27,224.42, 40,837.68 and 7,504.52

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Solution

The fourth proportional to 27,224.42, 40,837.68 and 7,504.52 is: 11,257.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,224.42 : 40,837.68 = 7,504.52 : x
  2. Step 2: Convert to fraction form
    27,224.42/40,837.68 = 7,504.52/x
  3. Step 3: Cross multiply
    27,224.42x = 40,837.68 × 7,504.52
  4. Step 4: Simplify right side
    27,224.42x = 306,466,982.13
  5. Step 5: Solve for x
    x = 306,466,982.13/27,224.42
  6. Step 6: Final answer
    x = 11,257.06

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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.