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Finding the Fourth Proportional to 50,195.50, 75,297.57 and 13,259.50

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Solution

The fourth proportional to 50,195.50, 75,297.57 and 13,259.50 is: 19,890.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,195.50 : 75,297.57 = 13,259.50 : x
  2. Step 2: Convert to fraction form
    50,195.50/75,297.57 = 13,259.50/x
  3. Step 3: Cross multiply
    50,195.50x = 75,297.57 × 13,259.50
  4. Step 4: Simplify right side
    50,195.50x = 998,408,129.42
  5. Step 5: Solve for x
    x = 998,408,129.42/50,195.50
  6. Step 6: Final answer
    x = 19,890.39

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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.