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Finding the Fourth Proportional to 50,321.66, 75,416.87 and 20,709.68

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Solution

The fourth proportional to 50,321.66, 75,416.87 and 20,709.68 is: 31,037.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,321.66 : 75,416.87 = 20,709.68 : x
  2. Step 2: Convert to fraction form
    50,321.66/75,416.87 = 20,709.68/x
  3. Step 3: Cross multiply
    50,321.66x = 75,416.87 × 20,709.68
  4. Step 4: Simplify right side
    50,321.66x = 1,561,858,918.99
  5. Step 5: Solve for x
    x = 1,561,858,918.99/50,321.66
  6. Step 6: Final answer
    x = 31,037.51

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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.