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Finding the Fourth Proportional to 100,571.52, 150,876.72 and 34,022.46

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Solution

The fourth proportional to 100,571.52, 150,876.72 and 34,022.46 is: 51,040.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,571.52 : 150,876.72 = 34,022.46 : x
  2. Step 2: Convert to fraction form
    100,571.52/150,876.72 = 34,022.46/x
  3. Step 3: Cross multiply
    100,571.52x = 150,876.72 × 34,022.46
  4. Step 4: Simplify right side
    100,571.52x = 5,133,197,171.13
  5. Step 5: Solve for x
    x = 5,133,197,171.13/100,571.52
  6. Step 6: Final answer
    x = 51,040.27

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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.