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Finding the Fourth Proportional to 109,355.69, 164,033.54 and 26,249.69

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Solution

The fourth proportional to 109,355.69, 164,033.54 and 26,249.69 is: 39,374.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,355.69 : 164,033.54 = 26,249.69 : x
  2. Step 2: Convert to fraction form
    109,355.69/164,033.54 = 26,249.69/x
  3. Step 3: Cross multiply
    109,355.69x = 164,033.54 × 26,249.69
  4. Step 4: Simplify right side
    109,355.69x = 4,305,829,574.60
  5. Step 5: Solve for x
    x = 4,305,829,574.60/109,355.69
  6. Step 6: Final answer
    x = 39,374.54

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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.