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Finding the Fourth Proportional to 27,755.94, 41,640.59 and 8,035.89

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Solution

The fourth proportional to 27,755.94, 41,640.59 and 8,035.89 is: 12,055.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,755.94 : 41,640.59 = 8,035.89 : x
  2. Step 2: Convert to fraction form
    27,755.94/41,640.59 = 8,035.89/x
  3. Step 3: Cross multiply
    27,755.94x = 41,640.59 × 8,035.89
  4. Step 4: Simplify right side
    27,755.94x = 334,619,200.78
  5. Step 5: Solve for x
    x = 334,619,200.78/27,755.94
  6. Step 6: Final answer
    x = 12,055.77

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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.