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Finding the Fourth Proportional to 100,610.75, 150,822.29 and 34,004.54

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Solution

The fourth proportional to 100,610.75, 150,822.29 and 34,004.54 is: 50,975.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,610.75 : 150,822.29 = 34,004.54 : x
  2. Step 2: Convert to fraction form
    100,610.75/150,822.29 = 34,004.54/x
  3. Step 3: Cross multiply
    100,610.75x = 150,822.29 × 34,004.54
  4. Step 4: Simplify right side
    100,610.75x = 5,128,641,669.06
  5. Step 5: Solve for x
    x = 5,128,641,669.06/100,610.75
  6. Step 6: Final answer
    x = 50,975.09

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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.