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Finding the Fourth Proportional to 69,768.71, 104,532.69 and 38,201.49

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Solution

The fourth proportional to 69,768.71, 104,532.69 and 38,201.49 is: 57,236.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,768.71 : 104,532.69 = 38,201.49 : x
  2. Step 2: Convert to fraction form
    69,768.71/104,532.69 = 38,201.49/x
  3. Step 3: Cross multiply
    69,768.71x = 104,532.69 × 38,201.49
  4. Step 4: Simplify right side
    69,768.71x = 3,993,304,511.71
  5. Step 5: Solve for x
    x = 3,993,304,511.71/69,768.71
  6. Step 6: Final answer
    x = 57,236.33

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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.