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Finding the Fourth Proportional to 109,493.82, 164,240.73 and 26,387.82

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Solution

The fourth proportional to 109,493.82, 164,240.73 and 26,387.82 is: 39,581.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,493.82 : 164,240.73 = 26,387.82 : x
  2. Step 2: Convert to fraction form
    109,493.82/164,240.73 = 26,387.82/x
  3. Step 3: Cross multiply
    109,493.82x = 164,240.73 × 26,387.82
  4. Step 4: Simplify right side
    109,493.82x = 4,333,954,819.91
  5. Step 5: Solve for x
    x = 4,333,954,819.91/109,493.82
  6. Step 6: Final answer
    x = 39,581.73

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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.