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Finding the Fourth Proportional to 69,735.14, 96,230.42 and 37,903.76

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Solution

The fourth proportional to 69,735.14, 96,230.42 and 37,903.76 is: 52,304.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,735.14 : 96,230.42 = 37,903.76 : x
  2. Step 2: Convert to fraction form
    69,735.14/96,230.42 = 37,903.76/x
  3. Step 3: Cross multiply
    69,735.14x = 96,230.42 × 37,903.76
  4. Step 4: Simplify right side
    69,735.14x = 3,647,494,744.38
  5. Step 5: Solve for x
    x = 3,647,494,744.38/69,735.14
  6. Step 6: Final answer
    x = 52,304.97

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Why These Related Problems?

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