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Finding the Fourth Proportional to 100,627.28, 150,968.14 and 34,067.40

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Solution

The fourth proportional to 100,627.28, 150,968.14 and 34,067.40 is: 51,110.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,627.28 : 150,968.14 = 34,067.40 : x
  2. Step 2: Convert to fraction form
    100,627.28/150,968.14 = 34,067.40/x
  3. Step 3: Cross multiply
    100,627.28x = 150,968.14 × 34,067.40
  4. Step 4: Simplify right side
    100,627.28x = 5,143,092,012.64
  5. Step 5: Solve for x
    x = 5,143,092,012.64/100,627.28
  6. Step 6: Final answer
    x = 51,110.32

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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.