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Finding the Fourth Proportional to 27,857.52, 41,803.29 and 12,059.48

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Solution

The fourth proportional to 27,857.52, 41,803.29 and 12,059.48 is: 18,096.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,857.52 : 41,803.29 = 12,059.48 : x
  2. Step 2: Convert to fraction form
    27,857.52/41,803.29 = 12,059.48/x
  3. Step 3: Cross multiply
    27,857.52x = 41,803.29 × 12,059.48
  4. Step 4: Simplify right side
    27,857.52x = 504,126,044.20
  5. Step 5: Solve for x
    x = 504,126,044.20/27,857.52
  6. Step 6: Final answer
    x = 18,096.59

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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.