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Finding the Fourth Proportional to 27,803.03, 41,704.21 and 6,743.25

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Solution

The fourth proportional to 27,803.03, 41,704.21 and 6,743.25 is: 10,114.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,803.03 : 41,704.21 = 6,743.25 : x
  2. Step 2: Convert to fraction form
    27,803.03/41,704.21 = 6,743.25/x
  3. Step 3: Cross multiply
    27,803.03x = 41,704.21 × 6,743.25
  4. Step 4: Simplify right side
    27,803.03x = 281,221,917.77
  5. Step 5: Solve for x
    x = 281,221,917.77/27,803.03
  6. Step 6: Final answer
    x = 10,114.79

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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.