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Finding the Fourth Proportional to 37,100.78, 51,212.16 and 22,196.78

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Solution

The fourth proportional to 37,100.78, 51,212.16 and 22,196.78 is: 30,639.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,100.78 : 51,212.16 = 22,196.78 : x
  2. Step 2: Convert to fraction form
    37,100.78/51,212.16 = 22,196.78/x
  3. Step 3: Cross multiply
    37,100.78x = 51,212.16 × 22,196.78
  4. Step 4: Simplify right side
    37,100.78x = 1,136,745,048.84
  5. Step 5: Solve for x
    x = 1,136,745,048.84/37,100.78
  6. Step 6: Final answer
    x = 30,639.38

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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.