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Finding the Fourth Proportional to 27,755.52, 41,634.12 and 8,038.50

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Solution

The fourth proportional to 27,755.52, 41,634.12 and 8,038.50 is: 12,057.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,755.52 : 41,634.12 = 8,038.50 : x
  2. Step 2: Convert to fraction form
    27,755.52/41,634.12 = 8,038.50/x
  3. Step 3: Cross multiply
    27,755.52x = 41,634.12 × 8,038.50
  4. Step 4: Simplify right side
    27,755.52x = 334,675,873.62
  5. Step 5: Solve for x
    x = 334,675,873.62/27,755.52
  6. Step 6: Final answer
    x = 12,057.99

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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.