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Finding the Fourth Proportional to 37,678, 51,996.78 and 20,912.08

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Solution

The fourth proportional to 37,678, 51,996.78 and 20,912.08 is: 28,859.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,678 : 51,996.78 = 20,912.08 : x
  2. Step 2: Convert to fraction form
    37,678/51,996.78 = 20,912.08/x
  3. Step 3: Cross multiply
    37,678x = 51,996.78 × 20,912.08
  4. Step 4: Simplify right side
    37,678x = 1,087,360,823.10
  5. Step 5: Solve for x
    x = 1,087,360,823.10/37,678
  6. Step 6: Final answer
    x = 28,859.30

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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.