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Finding the Fourth Proportional to 69,838.14, 96,376.72 and 38,007.02

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Solution

The fourth proportional to 69,838.14, 96,376.72 and 38,007.02 is: 52,449.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,838.14 : 96,376.72 = 38,007.02 : x
  2. Step 2: Convert to fraction form
    69,838.14/96,376.72 = 38,007.02/x
  3. Step 3: Cross multiply
    69,838.14x = 96,376.72 × 38,007.02
  4. Step 4: Simplify right side
    69,838.14x = 3,662,991,924.57
  5. Step 5: Solve for x
    x = 3,662,991,924.57/69,838.14
  6. Step 6: Final answer
    x = 52,449.73

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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.