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Finding the Fourth Proportional to 69,838.20, 96,377.05 and 38,007.09

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Solution

The fourth proportional to 69,838.20, 96,377.05 and 38,007.09 is: 52,449.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,838.20 : 96,377.05 = 38,007.09 : x
  2. Step 2: Convert to fraction form
    69,838.20/96,377.05 = 38,007.09/x
  3. Step 3: Cross multiply
    69,838.20x = 96,377.05 × 38,007.09
  4. Step 4: Simplify right side
    69,838.20x = 3,663,011,622.21
  5. Step 5: Solve for x
    x = 3,663,011,622.21/69,838.20
  6. Step 6: Final answer
    x = 52,449.97

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.