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Finding the Fourth Proportional to 27,775.93, 41,668 and 8,051.92

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Solution

The fourth proportional to 27,775.93, 41,668 and 8,051.92 is: 12,079.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,775.93 : 41,668 = 8,051.92 : x
  2. Step 2: Convert to fraction form
    27,775.93/41,668 = 8,051.92/x
  3. Step 3: Cross multiply
    27,775.93x = 41,668 × 8,051.92
  4. Step 4: Simplify right side
    27,775.93x = 335,507,402.56
  5. Step 5: Solve for x
    x = 335,507,402.56/27,775.93
  6. Step 6: Final answer
    x = 12,079.07

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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.