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Finding the Fourth Proportional to 33,138.27, 49,700.93 and 9,758.43

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Solution

The fourth proportional to 33,138.27, 49,700.93 and 9,758.43 is: 14,635.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,138.27 : 49,700.93 = 9,758.43 : x
  2. Step 2: Convert to fraction form
    33,138.27/49,700.93 = 9,758.43/x
  3. Step 3: Cross multiply
    33,138.27x = 49,700.93 × 9,758.43
  4. Step 4: Simplify right side
    33,138.27x = 485,002,997.55
  5. Step 5: Solve for x
    x = 485,002,997.55/33,138.27
  6. Step 6: Final answer
    x = 14,635.74

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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.