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Finding the Fourth Proportional to 27,851.62, 41,776.80 and 6,791.77

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Solution

The fourth proportional to 27,851.62, 41,776.80 and 6,791.77 is: 10,187.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,851.62 : 41,776.80 = 6,791.77 : x
  2. Step 2: Convert to fraction form
    27,851.62/41,776.80 = 6,791.77/x
  3. Step 3: Cross multiply
    27,851.62x = 41,776.80 × 6,791.77
  4. Step 4: Simplify right side
    27,851.62x = 283,738,416.94
  5. Step 5: Solve for x
    x = 283,738,416.94/27,851.62
  6. Step 6: Final answer
    x = 10,187.50

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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.