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Finding the Fourth Proportional to 100,583.25, 150,645.24 and 48,029.64

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Solution

The fourth proportional to 100,583.25, 150,645.24 and 48,029.64 is: 71,934.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,583.25 : 150,645.24 = 48,029.64 : x
  2. Step 2: Convert to fraction form
    100,583.25/150,645.24 = 48,029.64/x
  3. Step 3: Cross multiply
    100,583.25x = 150,645.24 × 48,029.64
  4. Step 4: Simplify right side
    100,583.25x = 7,235,436,644.91
  5. Step 5: Solve for x
    x = 7,235,436,644.91/100,583.25
  6. Step 6: Final answer
    x = 71,934.81

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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.