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Finding the Fourth Proportional to 69,838.41, 96,376.73 and 38,007.30

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Solution

The fourth proportional to 69,838.41, 96,376.73 and 38,007.30 is: 52,449.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,838.41 : 96,376.73 = 38,007.30 : x
  2. Step 2: Convert to fraction form
    69,838.41/96,376.73 = 38,007.30/x
  3. Step 3: Cross multiply
    69,838.41x = 96,376.73 × 38,007.30
  4. Step 4: Simplify right side
    69,838.41x = 3,663,019,100.09
  5. Step 5: Solve for x
    x = 3,663,019,100.09/69,838.41
  6. Step 6: Final answer
    x = 52,449.92

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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.