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Finding the Fourth Proportional to 37,940.74, 52,343.49 and 22,019.38

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Solution

The fourth proportional to 37,940.74, 52,343.49 and 22,019.38 is: 30,378.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,940.74 : 52,343.49 = 22,019.38 : x
  2. Step 2: Convert to fraction form
    37,940.74/52,343.49 = 22,019.38/x
  3. Step 3: Cross multiply
    37,940.74x = 52,343.49 × 22,019.38
  4. Step 4: Simplify right side
    37,940.74x = 1,152,571,196.84
  5. Step 5: Solve for x
    x = 1,152,571,196.84/37,940.74
  6. Step 6: Final answer
    x = 30,378.19

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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.