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Finding the Fourth Proportional to 37,102.40, 51,201.33 and 20,106.80

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Solution

The fourth proportional to 37,102.40, 51,201.33 and 20,106.80 is: 27,747.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,102.40 : 51,201.33 = 20,106.80 : x
  2. Step 2: Convert to fraction form
    37,102.40/51,201.33 = 20,106.80/x
  3. Step 3: Cross multiply
    37,102.40x = 51,201.33 × 20,106.80
  4. Step 4: Simplify right side
    37,102.40x = 1,029,494,902.04
  5. Step 5: Solve for x
    x = 1,029,494,902.04/37,102.40
  6. Step 6: Final answer
    x = 27,747.39

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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.