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Finding the Fourth Proportional to 50,188, 75,286.36 and 13,252

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Solution

The fourth proportional to 50,188, 75,286.36 and 13,252 is: 19,879.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,188 : 75,286.36 = 13,252 : x
  2. Step 2: Convert to fraction form
    50,188/75,286.36 = 13,252/x
  3. Step 3: Cross multiply
    50,188x = 75,286.36 × 13,252
  4. Step 4: Simplify right side
    50,188x = 997,694,842.72
  5. Step 5: Solve for x
    x = 997,694,842.72/50,188
  6. Step 6: Final answer
    x = 19,879.15

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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.