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Finding the Fourth Proportional to 66,942.26, 100,416.02 and 20,195.13

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Solution

The fourth proportional to 66,942.26, 100,416.02 and 20,195.13 is: 30,293.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,942.26 : 100,416.02 = 20,195.13 : x
  2. Step 2: Convert to fraction form
    66,942.26/100,416.02 = 20,195.13/x
  3. Step 3: Cross multiply
    66,942.26x = 100,416.02 × 20,195.13
  4. Step 4: Simplify right side
    66,942.26x = 2,027,914,577.98
  5. Step 5: Solve for x
    x = 2,027,914,577.98/66,942.26
  6. Step 6: Final answer
    x = 30,293.49

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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.