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Finding the Fourth Proportional to 27,809.09, 41,713.28 and 6,749.30

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Solution

The fourth proportional to 27,809.09, 41,713.28 and 6,749.30 is: 10,123.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,809.09 : 41,713.28 = 6,749.30 : x
  2. Step 2: Convert to fraction form
    27,809.09/41,713.28 = 6,749.30/x
  3. Step 3: Cross multiply
    27,809.09x = 41,713.28 × 6,749.30
  4. Step 4: Simplify right side
    27,809.09x = 281,535,198.39
  5. Step 5: Solve for x
    x = 281,535,198.39/27,809.09
  6. Step 6: Final answer
    x = 10,123.86

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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.