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Finding the Fourth Proportional to 27,448.84, 41,173.26 and 7,729.48

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Solution

The fourth proportional to 27,448.84, 41,173.26 and 7,729.48 is: 11,594.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,448.84 : 41,173.26 = 7,729.48 : x
  2. Step 2: Convert to fraction form
    27,448.84/41,173.26 = 7,729.48/x
  3. Step 3: Cross multiply
    27,448.84x = 41,173.26 × 7,729.48
  4. Step 4: Simplify right side
    27,448.84x = 318,247,889.70
  5. Step 5: Solve for x
    x = 318,247,889.70/27,448.84
  6. Step 6: Final answer
    x = 11,594.22

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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.