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Finding the Fourth Proportional to 30,474.08, 45,669.60 and 18,632

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Solution

The fourth proportional to 30,474.08, 45,669.60 and 18,632 is: 27,922.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,474.08 : 45,669.60 = 18,632 : x
  2. Step 2: Convert to fraction form
    30,474.08/45,669.60 = 18,632/x
  3. Step 3: Cross multiply
    30,474.08x = 45,669.60 × 18,632
  4. Step 4: Simplify right side
    30,474.08x = 850,915,987.20
  5. Step 5: Solve for x
    x = 850,915,987.20/30,474.08
  6. Step 6: Final answer
    x = 27,922.61

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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.