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Finding the Fourth Proportional to 27,093, 40,546.38 and 17,093.14

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Solution

The fourth proportional to 27,093, 40,546.38 and 17,093.14 is: 25,580.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,093 : 40,546.38 = 17,093.14 : x
  2. Step 2: Convert to fraction form
    27,093/40,546.38 = 17,093.14/x
  3. Step 3: Cross multiply
    27,093x = 40,546.38 × 17,093.14
  4. Step 4: Simplify right side
    27,093x = 693,064,949.83
  5. Step 5: Solve for x
    x = 693,064,949.83/27,093
  6. Step 6: Final answer
    x = 25,580.96

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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.