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Finding the Fourth Proportional to 50,195, 75,296.82 and 13,259

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Solution

The fourth proportional to 50,195, 75,296.82 and 13,259 is: 19,889.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,195 : 75,296.82 = 13,259 : x
  2. Step 2: Convert to fraction form
    50,195/75,296.82 = 13,259/x
  3. Step 3: Cross multiply
    50,195x = 75,296.82 × 13,259
  4. Step 4: Simplify right side
    50,195x = 998,360,536.38
  5. Step 5: Solve for x
    x = 998,360,536.38/50,195
  6. Step 6: Final answer
    x = 19,889.64

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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.