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Finding the Fourth Proportional to 33,709.64, 50,565.64 and 12,647.54

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Solution

The fourth proportional to 33,709.64, 50,565.64 and 12,647.54 is: 18,971.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,709.64 : 50,565.64 = 12,647.54 : x
  2. Step 2: Convert to fraction form
    33,709.64/50,565.64 = 12,647.54/x
  3. Step 3: Cross multiply
    33,709.64x = 50,565.64 × 12,647.54
  4. Step 4: Simplify right side
    33,709.64x = 639,530,954.53
  5. Step 5: Solve for x
    x = 639,530,954.53/33,709.64
  6. Step 6: Final answer
    x = 18,971.75

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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.