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Finding the Fourth Proportional to 69,376.97, 104,065.46 and 16,786.46

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Solution

The fourth proportional to 69,376.97, 104,065.46 and 16,786.46 is: 25,179.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,376.97 : 104,065.46 = 16,786.46 : x
  2. Step 2: Convert to fraction form
    69,376.97/104,065.46 = 16,786.46/x
  3. Step 3: Cross multiply
    69,376.97x = 104,065.46 × 16,786.46
  4. Step 4: Simplify right side
    69,376.97x = 1,746,890,161.34
  5. Step 5: Solve for x
    x = 1,746,890,161.34/69,376.97
  6. Step 6: Final answer
    x = 25,179.68

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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.