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Finding the Fourth Proportional to 73,002.70, 100,745.19 and 41,165.38

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Solution

The fourth proportional to 73,002.70, 100,745.19 and 41,165.38 is: 56,809.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,002.70 : 100,745.19 = 41,165.38 : x
  2. Step 2: Convert to fraction form
    73,002.70/100,745.19 = 41,165.38/x
  3. Step 3: Cross multiply
    73,002.70x = 100,745.19 × 41,165.38
  4. Step 4: Simplify right side
    73,002.70x = 4,147,213,319.97
  5. Step 5: Solve for x
    x = 4,147,213,319.97/73,002.70
  6. Step 6: Final answer
    x = 56,809.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.