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Finding the Fourth Proportional to 37,674, 51,991.92 and 20,907

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Solution

The fourth proportional to 37,674, 51,991.92 and 20,907 is: 28,852.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,674 : 51,991.92 = 20,907 : x
  2. Step 2: Convert to fraction form
    37,674/51,991.92 = 20,907/x
  3. Step 3: Cross multiply
    37,674x = 51,991.92 × 20,907
  4. Step 4: Simplify right side
    37,674x = 1,086,995,071.44
  5. Step 5: Solve for x
    x = 1,086,995,071.44/37,674
  6. Step 6: Final answer
    x = 28,852.66

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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.