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Finding the Fourth Proportional to 33,103.40, 49,650.30 and 9,727.40

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Solution

The fourth proportional to 33,103.40, 49,650.30 and 9,727.40 is: 14,589.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,103.40 : 49,650.30 = 9,727.40 : x
  2. Step 2: Convert to fraction form
    33,103.40/49,650.30 = 9,727.40/x
  3. Step 3: Cross multiply
    33,103.40x = 49,650.30 × 9,727.40
  4. Step 4: Simplify right side
    33,103.40x = 482,968,328.22
  5. Step 5: Solve for x
    x = 482,968,328.22/33,103.40
  6. Step 6: Final answer
    x = 14,589.69

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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.