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Finding the Fourth Proportional to 50,138.86, 75,208.41 and 12,698.94

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Solution

The fourth proportional to 50,138.86, 75,208.41 and 12,698.94 is: 19,048.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,138.86 : 75,208.41 = 12,698.94 : x
  2. Step 2: Convert to fraction form
    50,138.86/75,208.41 = 12,698.94/x
  3. Step 3: Cross multiply
    50,138.86x = 75,208.41 × 12,698.94
  4. Step 4: Simplify right side
    50,138.86x = 955,067,022.59
  5. Step 5: Solve for x
    x = 955,067,022.59/50,138.86
  6. Step 6: Final answer
    x = 19,048.44

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.