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Finding the Fourth Proportional to 33,116.64, 49,674.90 and 23,299.80

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Solution

The fourth proportional to 33,116.64, 49,674.90 and 23,299.80 is: 34,949.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,116.64 : 49,674.90 = 23,299.80 : x
  2. Step 2: Convert to fraction form
    33,116.64/49,674.90 = 23,299.80/x
  3. Step 3: Cross multiply
    33,116.64x = 49,674.90 × 23,299.80
  4. Step 4: Simplify right side
    33,116.64x = 1,157,415,235.02
  5. Step 5: Solve for x
    x = 1,157,415,235.02/33,116.64
  6. Step 6: Final answer
    x = 34,949.66

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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.