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Finding the Fourth Proportional to 69,848.87, 96,391.42 and 38,018

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Solution

The fourth proportional to 69,848.87, 96,391.42 and 38,018 is: 52,464.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,848.87 : 96,391.42 = 38,018 : x
  2. Step 2: Convert to fraction form
    69,848.87/96,391.42 = 38,018/x
  3. Step 3: Cross multiply
    69,848.87x = 96,391.42 × 38,018
  4. Step 4: Simplify right side
    69,848.87x = 3,664,609,005.56
  5. Step 5: Solve for x
    x = 3,664,609,005.56/69,848.87
  6. Step 6: Final answer
    x = 52,464.83

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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.