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Finding the Fourth Proportional to 27,766, 41,649.04 and 11,350

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Solution

The fourth proportional to 27,766, 41,649.04 and 11,350 is: 17,025.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,766 : 41,649.04 = 11,350 : x
  2. Step 2: Convert to fraction form
    27,766/41,649.04 = 11,350/x
  3. Step 3: Cross multiply
    27,766x = 41,649.04 × 11,350
  4. Step 4: Simplify right side
    27,766x = 472,716,604
  5. Step 5: Solve for x
    x = 472,716,604/27,766
  6. Step 6: Final answer
    x = 17,025.02

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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.