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Finding the Fourth Proportional to 69,843.92, 104,766.34 and 19,923.90

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Solution

The fourth proportional to 69,843.92, 104,766.34 and 19,923.90 is: 29,885.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,843.92 : 104,766.34 = 19,923.90 : x
  2. Step 2: Convert to fraction form
    69,843.92/104,766.34 = 19,923.90/x
  3. Step 3: Cross multiply
    69,843.92x = 104,766.34 × 19,923.90
  4. Step 4: Simplify right side
    69,843.92x = 2,087,354,081.53
  5. Step 5: Solve for x
    x = 2,087,354,081.53/69,843.92
  6. Step 6: Final answer
    x = 29,885.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.