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Finding the Fourth Proportional to 36,675, 50,611.50 and 24,122.16

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Solution

The fourth proportional to 36,675, 50,611.50 and 24,122.16 is: 33,288.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,675 : 50,611.50 = 24,122.16 : x
  2. Step 2: Convert to fraction form
    36,675/50,611.50 = 24,122.16/x
  3. Step 3: Cross multiply
    36,675x = 50,611.50 × 24,122.16
  4. Step 4: Simplify right side
    36,675x = 1,220,858,700.84
  5. Step 5: Solve for x
    x = 1,220,858,700.84/36,675
  6. Step 6: Final answer
    x = 33,288.58

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