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Finding the Fourth Proportional to 50,223.84, 69,311.07 and 30,084

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Solution

The fourth proportional to 50,223.84, 69,311.07 and 30,084 is: 41,517.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,223.84 : 69,311.07 = 30,084 : x
  2. Step 2: Convert to fraction form
    50,223.84/69,311.07 = 30,084/x
  3. Step 3: Cross multiply
    50,223.84x = 69,311.07 × 30,084
  4. Step 4: Simplify right side
    50,223.84x = 2,085,154,229.88
  5. Step 5: Solve for x
    x = 2,085,154,229.88/50,223.84
  6. Step 6: Final answer
    x = 41,517.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.