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Finding the Fourth Proportional to 33,223.10, 49,834.85 and 8,263.15

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Solution

The fourth proportional to 33,223.10, 49,834.85 and 8,263.15 is: 12,394.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,223.10 : 49,834.85 = 8,263.15 : x
  2. Step 2: Convert to fraction form
    33,223.10/49,834.85 = 8,263.15/x
  3. Step 3: Cross multiply
    33,223.10x = 49,834.85 × 8,263.15
  4. Step 4: Simplify right side
    33,223.10x = 411,792,674.87
  5. Step 5: Solve for x
    x = 411,792,674.87/33,223.10
  6. Step 6: Final answer
    x = 12,394.77

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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.