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Finding the Fourth Proportional to 100,584.02, 150,892.36 and 34,028.20

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Solution

The fourth proportional to 100,584.02, 150,892.36 and 34,028.20 is: 51,047.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,584.02 : 150,892.36 = 34,028.20 : x
  2. Step 2: Convert to fraction form
    100,584.02/150,892.36 = 34,028.20/x
  3. Step 3: Cross multiply
    100,584.02x = 150,892.36 × 34,028.20
  4. Step 4: Simplify right side
    100,584.02x = 5,134,595,404.55
  5. Step 5: Solve for x
    x = 5,134,595,404.55/100,584.02
  6. Step 6: Final answer
    x = 51,047.82

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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.