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Finding the Fourth Proportional to 109,697.63, 164,546.44 and 26,591.63

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Solution

The fourth proportional to 109,697.63, 164,546.44 and 26,591.63 is: 39,887.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,697.63 : 164,546.44 = 26,591.63 : x
  2. Step 2: Convert to fraction form
    109,697.63/164,546.44 = 26,591.63/x
  3. Step 3: Cross multiply
    109,697.63x = 164,546.44 × 26,591.63
  4. Step 4: Simplify right side
    109,697.63x = 4,375,557,161.09
  5. Step 5: Solve for x
    x = 4,375,557,161.09/109,697.63
  6. Step 6: Final answer
    x = 39,887.44

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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.