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Finding the Fourth Proportional to 27,882.91, 41,798.70 and 12,078.01

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Solution

The fourth proportional to 27,882.91, 41,798.70 and 12,078.01 is: 18,105.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,882.91 : 41,798.70 = 12,078.01 : x
  2. Step 2: Convert to fraction form
    27,882.91/41,798.70 = 12,078.01/x
  3. Step 3: Cross multiply
    27,882.91x = 41,798.70 × 12,078.01
  4. Step 4: Simplify right side
    27,882.91x = 504,845,116.59
  5. Step 5: Solve for x
    x = 504,845,116.59/27,882.91
  6. Step 6: Final answer
    x = 18,105.90

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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.