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Finding the Fourth Proportional to 27,621, 41,448.54 and 12,039.84

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Solution

The fourth proportional to 27,621, 41,448.54 and 12,039.84 is: 18,067.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,621 : 41,448.54 = 12,039.84 : x
  2. Step 2: Convert to fraction form
    27,621/41,448.54 = 12,039.84/x
  3. Step 3: Cross multiply
    27,621x = 41,448.54 × 12,039.84
  4. Step 4: Simplify right side
    27,621x = 499,033,789.83
  5. Step 5: Solve for x
    x = 499,033,789.83/27,621
  6. Step 6: Final answer
    x = 18,067.19

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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.