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Finding the Fourth Proportional to 27,356.70, 41,039.42 and 11,561.88

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Solution

The fourth proportional to 27,356.70, 41,039.42 and 11,561.88 is: 17,344.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,356.70 : 41,039.42 = 11,561.88 : x
  2. Step 2: Convert to fraction form
    27,356.70/41,039.42 = 11,561.88/x
  3. Step 3: Cross multiply
    27,356.70x = 41,039.42 × 11,561.88
  4. Step 4: Simplify right side
    27,356.70x = 474,492,791.50
  5. Step 5: Solve for x
    x = 474,492,791.50/27,356.70
  6. Step 6: Final answer
    x = 17,344.66

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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.