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Finding the Fourth Proportional to 27,702.78, 41,529.52 and 10,168.50

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Solution

The fourth proportional to 27,702.78, 41,529.52 and 10,168.50 is: 15,243.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,702.78 : 41,529.52 = 10,168.50 : x
  2. Step 2: Convert to fraction form
    27,702.78/41,529.52 = 10,168.50/x
  3. Step 3: Cross multiply
    27,702.78x = 41,529.52 × 10,168.50
  4. Step 4: Simplify right side
    27,702.78x = 422,293,092.57
  5. Step 5: Solve for x
    x = 422,293,092.57/27,702.78
  6. Step 6: Final answer
    x = 15,243.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.