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Finding the Fourth Proportional to 109,493.80, 164,240.33 and 26,387.80

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Solution

The fourth proportional to 109,493.80, 164,240.33 and 26,387.80 is: 39,581.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,493.80 : 164,240.33 = 26,387.80 : x
  2. Step 2: Convert to fraction form
    109,493.80/164,240.33 = 26,387.80/x
  3. Step 3: Cross multiply
    109,493.80x = 164,240.33 × 26,387.80
  4. Step 4: Simplify right side
    109,493.80x = 4,333,940,979.97
  5. Step 5: Solve for x
    x = 4,333,940,979.97/109,493.80
  6. Step 6: Final answer
    x = 39,581.61

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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.