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Finding the Fourth Proportional to 27,158.50, 40,745.67 and 11,577.70

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Solution

The fourth proportional to 27,158.50, 40,745.67 and 11,577.70 is: 17,369.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,158.50 : 40,745.67 = 11,577.70 : x
  2. Step 2: Convert to fraction form
    27,158.50/40,745.67 = 11,577.70/x
  3. Step 3: Cross multiply
    27,158.50x = 40,745.67 × 11,577.70
  4. Step 4: Simplify right side
    27,158.50x = 471,741,143.56
  5. Step 5: Solve for x
    x = 471,741,143.56/27,158.50
  6. Step 6: Final answer
    x = 17,369.93

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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.