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Finding the Fourth Proportional to 100,542.37, 150,834.27 and 29,467.37

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Solution

The fourth proportional to 100,542.37, 150,834.27 and 29,467.37 is: 44,207.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,542.37 : 150,834.27 = 29,467.37 : x
  2. Step 2: Convert to fraction form
    100,542.37/150,834.27 = 29,467.37/x
  3. Step 3: Cross multiply
    100,542.37x = 150,834.27 × 29,467.37
  4. Step 4: Simplify right side
    100,542.37x = 4,444,688,488.60
  5. Step 5: Solve for x
    x = 4,444,688,488.60/100,542.37
  6. Step 6: Final answer
    x = 44,207.12

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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.