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Finding the Fourth Proportional to 27,773.32, 41,668.62 and 8,054.68

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Solution

The fourth proportional to 27,773.32, 41,668.62 and 8,054.68 is: 12,084.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,773.32 : 41,668.62 = 8,054.68 : x
  2. Step 2: Convert to fraction form
    27,773.32/41,668.62 = 8,054.68/x
  3. Step 3: Cross multiply
    27,773.32x = 41,668.62 × 8,054.68
  4. Step 4: Simplify right side
    27,773.32x = 335,627,400.14
  5. Step 5: Solve for x
    x = 335,627,400.14/27,773.32
  6. Step 6: Final answer
    x = 12,084.53

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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.