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Finding the Fourth Proportional to 67,105.44, 100,672.68 and 20,361.84

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Solution

The fourth proportional to 67,105.44, 100,672.68 and 20,361.84 is: 30,547.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,105.44 : 100,672.68 = 20,361.84 : x
  2. Step 2: Convert to fraction form
    67,105.44/100,672.68 = 20,361.84/x
  3. Step 3: Cross multiply
    67,105.44x = 100,672.68 × 20,361.84
  4. Step 4: Simplify right side
    67,105.44x = 2,049,881,002.53
  5. Step 5: Solve for x
    x = 2,049,881,002.53/67,105.44
  6. Step 6: Final answer
    x = 30,547.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.