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Finding the Fourth Proportional to 73,146.68, 100,941.88 and 41,321.80

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Solution

The fourth proportional to 73,146.68, 100,941.88 and 41,321.80 is: 57,023.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,146.68 : 100,941.88 = 41,321.80 : x
  2. Step 2: Convert to fraction form
    73,146.68/100,941.88 = 41,321.80/x
  3. Step 3: Cross multiply
    73,146.68x = 100,941.88 × 41,321.80
  4. Step 4: Simplify right side
    73,146.68x = 4,171,100,176.98
  5. Step 5: Solve for x
    x = 4,171,100,176.98/73,146.68
  6. Step 6: Final answer
    x = 57,023.78

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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.