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Finding the Fourth Proportional to 100,537.20, 150,805.80 and 41,353.20

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Solution

The fourth proportional to 100,537.20, 150,805.80 and 41,353.20 is: 62,029.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,537.20 : 150,805.80 = 41,353.20 : x
  2. Step 2: Convert to fraction form
    100,537.20/150,805.80 = 41,353.20/x
  3. Step 3: Cross multiply
    100,537.20x = 150,805.80 × 41,353.20
  4. Step 4: Simplify right side
    100,537.20x = 6,236,302,408.56
  5. Step 5: Solve for x
    x = 6,236,302,408.56/100,537.20
  6. Step 6: Final answer
    x = 62,029.80

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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.