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Finding the Fourth Proportional to 27,738.88, 41,608.32 and 9,270.88

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Solution

The fourth proportional to 27,738.88, 41,608.32 and 9,270.88 is: 13,906.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,738.88 : 41,608.32 = 9,270.88 : x
  2. Step 2: Convert to fraction form
    27,738.88/41,608.32 = 9,270.88/x
  3. Step 3: Cross multiply
    27,738.88x = 41,608.32 × 9,270.88
  4. Step 4: Simplify right side
    27,738.88x = 385,745,741.72
  5. Step 5: Solve for x
    x = 385,745,741.72/27,738.88
  6. Step 6: Final answer
    x = 13,906.32

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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.