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Finding the Fourth Proportional to 30,745.92, 46,084.32 and 15,174.48

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Solution

The fourth proportional to 30,745.92, 46,084.32 and 15,174.48 is: 22,744.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,745.92 : 46,084.32 = 15,174.48 : x
  2. Step 2: Convert to fraction form
    30,745.92/46,084.32 = 15,174.48/x
  3. Step 3: Cross multiply
    30,745.92x = 46,084.32 × 15,174.48
  4. Step 4: Simplify right side
    30,745.92x = 699,305,592.15
  5. Step 5: Solve for x
    x = 699,305,592.15/30,745.92
  6. Step 6: Final answer
    x = 22,744.66

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