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Finding the Fourth Proportional to 33,983.15, 50,900.81 and 16,416

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Solution

The fourth proportional to 33,983.15, 50,900.81 and 16,416 is: 24,588.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,983.15 : 50,900.81 = 16,416 : x
  2. Step 2: Convert to fraction form
    33,983.15/50,900.81 = 16,416/x
  3. Step 3: Cross multiply
    33,983.15x = 50,900.81 × 16,416
  4. Step 4: Simplify right side
    33,983.15x = 835,587,614.88
  5. Step 5: Solve for x
    x = 835,587,614.88/33,983.15
  6. Step 6: Final answer
    x = 24,588.30

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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.