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Finding the Fourth Proportional to 50,529.16, 75,794.22 and 19,357

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Solution

The fourth proportional to 50,529.16, 75,794.22 and 19,357 is: 29,035.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,529.16 : 75,794.22 = 19,357 : x
  2. Step 2: Convert to fraction form
    50,529.16/75,794.22 = 19,357/x
  3. Step 3: Cross multiply
    50,529.16x = 75,794.22 × 19,357
  4. Step 4: Simplify right side
    50,529.16x = 1,467,148,716.54
  5. Step 5: Solve for x
    x = 1,467,148,716.54/50,529.16
  6. Step 6: Final answer
    x = 29,035.68

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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.