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Finding the Fourth Proportional to 27,057.17, 40,581.94 and 9,287.54

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Solution

The fourth proportional to 27,057.17, 40,581.94 and 9,287.54 is: 13,929.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,057.17 : 40,581.94 = 9,287.54 : x
  2. Step 2: Convert to fraction form
    27,057.17/40,581.94 = 9,287.54/x
  3. Step 3: Cross multiply
    27,057.17x = 40,581.94 × 9,287.54
  4. Step 4: Simplify right side
    27,057.17x = 376,906,141.68
  5. Step 5: Solve for x
    x = 376,906,141.68/27,057.17
  6. Step 6: Final answer
    x = 13,929.99

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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.