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Finding the Fourth Proportional to 73,049.72, 100,806.30 and 41,218.16

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Solution

The fourth proportional to 73,049.72, 100,806.30 and 41,218.16 is: 56,879.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,049.72 : 100,806.30 = 41,218.16 : x
  2. Step 2: Convert to fraction form
    73,049.72/100,806.30 = 41,218.16/x
  3. Step 3: Cross multiply
    73,049.72x = 100,806.30 × 41,218.16
  4. Step 4: Simplify right side
    73,049.72x = 4,155,050,202.41
  5. Step 5: Solve for x
    x = 4,155,050,202.41/73,049.72
  6. Step 6: Final answer
    x = 56,879.76

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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.