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Finding the Fourth Proportional to 33,222.75, 49,834.32 and 8,598.75

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Solution

The fourth proportional to 33,222.75, 49,834.32 and 8,598.75 is: 12,898.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,222.75 : 49,834.32 = 8,598.75 : x
  2. Step 2: Convert to fraction form
    33,222.75/49,834.32 = 8,598.75/x
  3. Step 3: Cross multiply
    33,222.75x = 49,834.32 × 8,598.75
  4. Step 4: Simplify right side
    33,222.75x = 428,512,859.10
  5. Step 5: Solve for x
    x = 428,512,859.10/33,222.75
  6. Step 6: Final answer
    x = 12,898.18

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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.