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Finding the Fourth Proportional to 69,838.28, 96,376.83 and 38,006.48

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Solution

The fourth proportional to 69,838.28, 96,376.83 and 38,006.48 is: 52,448.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,838.28 : 96,376.83 = 38,006.48 : x
  2. Step 2: Convert to fraction form
    69,838.28/96,376.83 = 38,006.48/x
  3. Step 3: Cross multiply
    69,838.28x = 96,376.83 × 38,006.48
  4. Step 4: Simplify right side
    69,838.28x = 3,662,944,061.86
  5. Step 5: Solve for x
    x = 3,662,944,061.86/69,838.28
  6. Step 6: Final answer
    x = 52,448.94

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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.