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Finding the Fourth Proportional to 27,311.10, 40,976.52 and 9,544.38

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Solution

The fourth proportional to 27,311.10, 40,976.52 and 9,544.38 is: 14,320.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,311.10 : 40,976.52 = 9,544.38 : x
  2. Step 2: Convert to fraction form
    27,311.10/40,976.52 = 9,544.38/x
  3. Step 3: Cross multiply
    27,311.10x = 40,976.52 × 9,544.38
  4. Step 4: Simplify right side
    27,311.10x = 391,095,477.96
  5. Step 5: Solve for x
    x = 391,095,477.96/27,311.10
  6. Step 6: Final answer
    x = 14,320.02

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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.