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Finding the Fourth Proportional to 33,081.75, 49,622.63 and 8,457.75

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Solution

The fourth proportional to 33,081.75, 49,622.63 and 8,457.75 is: 12,686.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,081.75 : 49,622.63 = 8,457.75 : x
  2. Step 2: Convert to fraction form
    33,081.75/49,622.63 = 8,457.75/x
  3. Step 3: Cross multiply
    33,081.75x = 49,622.63 × 8,457.75
  4. Step 4: Simplify right side
    33,081.75x = 419,695,756.59
  5. Step 5: Solve for x
    x = 419,695,756.59/33,081.75
  6. Step 6: Final answer
    x = 12,686.63

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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.