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Finding the Fourth Proportional to 50,272.95, 75,408.21 and 12,833.33

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Solution

The fourth proportional to 50,272.95, 75,408.21 and 12,833.33 is: 19,249.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,272.95 : 75,408.21 = 12,833.33 : x
  2. Step 2: Convert to fraction form
    50,272.95/75,408.21 = 12,833.33/x
  3. Step 3: Cross multiply
    50,272.95x = 75,408.21 × 12,833.33
  4. Step 4: Simplify right side
    50,272.95x = 967,738,379.47
  5. Step 5: Solve for x
    x = 967,738,379.47/50,272.95
  6. Step 6: Final answer
    x = 19,249.68

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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.