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Finding the Fourth Proportional to 66,942.40, 100,411.02 and 20,194

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Solution

The fourth proportional to 66,942.40, 100,411.02 and 20,194 is: 30,290.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,942.40 : 100,411.02 = 20,194 : x
  2. Step 2: Convert to fraction form
    66,942.40/100,411.02 = 20,194/x
  3. Step 3: Cross multiply
    66,942.40x = 100,411.02 × 20,194
  4. Step 4: Simplify right side
    66,942.40x = 2,027,700,137.88
  5. Step 5: Solve for x
    x = 2,027,700,137.88/66,942.40
  6. Step 6: Final answer
    x = 30,290.22

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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.