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Finding the Fourth Proportional to 27,791.10, 41,649.80 and 14,652.77

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Solution

The fourth proportional to 27,791.10, 41,649.80 and 14,652.77 is: 21,959.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,791.10 : 41,649.80 = 14,652.77 : x
  2. Step 2: Convert to fraction form
    27,791.10/41,649.80 = 14,652.77/x
  3. Step 3: Cross multiply
    27,791.10x = 41,649.80 × 14,652.77
  4. Step 4: Simplify right side
    27,791.10x = 610,284,658.43
  5. Step 5: Solve for x
    x = 610,284,658.43/27,791.10
  6. Step 6: Final answer
    x = 21,959.72

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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.