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Finding the Fourth Proportional to 100,573.52, 150,879.72 and 34,024.46

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Solution

The fourth proportional to 100,573.52, 150,879.72 and 34,024.46 is: 51,043.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,573.52 : 150,879.72 = 34,024.46 : x
  2. Step 2: Convert to fraction form
    100,573.52/150,879.72 = 34,024.46/x
  3. Step 3: Cross multiply
    100,573.52x = 150,879.72 × 34,024.46
  4. Step 4: Simplify right side
    100,573.52x = 5,133,600,997.95
  5. Step 5: Solve for x
    x = 5,133,600,997.95/100,573.52
  6. Step 6: Final answer
    x = 51,043.27

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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.