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Finding the Fourth Proportional to 49,220.50, 67,924.32 and 30,368.56

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Solution

The fourth proportional to 49,220.50, 67,924.32 and 30,368.56 is: 41,908.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,220.50 : 67,924.32 = 30,368.56 : x
  2. Step 2: Convert to fraction form
    49,220.50/67,924.32 = 30,368.56/x
  3. Step 3: Cross multiply
    49,220.50x = 67,924.32 × 30,368.56
  4. Step 4: Simplify right side
    49,220.50x = 2,062,763,787.38
  5. Step 5: Solve for x
    x = 2,062,763,787.38/49,220.50
  6. Step 6: Final answer
    x = 41,908.63

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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.