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Finding the Fourth Proportional to 50,212.62, 75,319.02 and 20,609.82

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Solution

The fourth proportional to 50,212.62, 75,319.02 and 20,609.82 is: 30,914.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,212.62 : 75,319.02 = 20,609.82 : x
  2. Step 2: Convert to fraction form
    50,212.62/75,319.02 = 20,609.82/x
  3. Step 3: Cross multiply
    50,212.62x = 75,319.02 × 20,609.82
  4. Step 4: Simplify right side
    50,212.62x = 1,552,311,444.78
  5. Step 5: Solve for x
    x = 1,552,311,444.78/50,212.62
  6. Step 6: Final answer
    x = 30,914.77

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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.