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Finding the Fourth Proportional to 27,450.54, 41,176.08 and 7,729.47

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Solution

The fourth proportional to 27,450.54, 41,176.08 and 7,729.47 is: 11,594.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,450.54 : 41,176.08 = 7,729.47 : x
  2. Step 2: Convert to fraction form
    27,450.54/41,176.08 = 7,729.47/x
  3. Step 3: Cross multiply
    27,450.54x = 41,176.08 × 7,729.47
  4. Step 4: Simplify right side
    27,450.54x = 318,269,275.08
  5. Step 5: Solve for x
    x = 318,269,275.08/27,450.54
  6. Step 6: Final answer
    x = 11,594.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.