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Finding the Fourth Proportional to 27,379.32, 41,054.32 and 8,400.61

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Solution

The fourth proportional to 27,379.32, 41,054.32 and 8,400.61 is: 12,596.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,379.32 : 41,054.32 = 8,400.61 : x
  2. Step 2: Convert to fraction form
    27,379.32/41,054.32 = 8,400.61/x
  3. Step 3: Cross multiply
    27,379.32x = 41,054.32 × 8,400.61
  4. Step 4: Simplify right side
    27,379.32x = 344,881,369.33
  5. Step 5: Solve for x
    x = 344,881,369.33/27,379.32
  6. Step 6: Final answer
    x = 12,596.42

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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.