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Finding the Fourth Proportional to 101,736, 152,608.32 and 27,864

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Solution

The fourth proportional to 101,736, 152,608.32 and 27,864 is: 41,797.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,736 : 152,608.32 = 27,864 : x
  2. Step 2: Convert to fraction form
    101,736/152,608.32 = 27,864/x
  3. Step 3: Cross multiply
    101,736x = 152,608.32 × 27,864
  4. Step 4: Simplify right side
    101,736x = 4,252,278,228.48
  5. Step 5: Solve for x
    x = 4,252,278,228.48/101,736
  6. Step 6: Final answer
    x = 41,797.18

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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.