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Finding the Fourth Proportional to 69,296.38, 103,943.66 and 16,705.44

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Solution

The fourth proportional to 69,296.38, 103,943.66 and 16,705.44 is: 25,057.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,296.38 : 103,943.66 = 16,705.44 : x
  2. Step 2: Convert to fraction form
    69,296.38/103,943.66 = 16,705.44/x
  3. Step 3: Cross multiply
    69,296.38x = 103,943.66 × 16,705.44
  4. Step 4: Simplify right side
    69,296.38x = 1,736,424,491.98
  5. Step 5: Solve for x
    x = 1,736,424,491.98/69,296.38
  6. Step 6: Final answer
    x = 25,057.94

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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.