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Finding the Fourth Proportional to 27,469.76, 41,200.94 and 7,749.90

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Solution

The fourth proportional to 27,469.76, 41,200.94 and 7,749.90 is: 11,623.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,469.76 : 41,200.94 = 7,749.90 : x
  2. Step 2: Convert to fraction form
    27,469.76/41,200.94 = 7,749.90/x
  3. Step 3: Cross multiply
    27,469.76x = 41,200.94 × 7,749.90
  4. Step 4: Simplify right side
    27,469.76x = 319,303,126.16
  5. Step 5: Solve for x
    x = 319,303,126.16/27,469.76
  6. Step 6: Final answer
    x = 11,623.81

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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.