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Finding the Fourth Proportional to 27,469.81, 41,200.31 and 7,749.75

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Solution

The fourth proportional to 27,469.81, 41,200.31 and 7,749.75 is: 11,623.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,469.81 : 41,200.31 = 7,749.75 : x
  2. Step 2: Convert to fraction form
    27,469.81/41,200.31 = 7,749.75/x
  3. Step 3: Cross multiply
    27,469.81x = 41,200.31 × 7,749.75
  4. Step 4: Simplify right side
    27,469.81x = 319,292,102.42
  5. Step 5: Solve for x
    x = 319,292,102.42/27,469.81
  6. Step 6: Final answer
    x = 11,623.38

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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.