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Finding the Fourth Proportional to 37,996.62, 52,438.14 and 21,868.80

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Solution

The fourth proportional to 37,996.62, 52,438.14 and 21,868.80 is: 30,180.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,996.62 : 52,438.14 = 21,868.80 : x
  2. Step 2: Convert to fraction form
    37,996.62/52,438.14 = 21,868.80/x
  3. Step 3: Cross multiply
    37,996.62x = 52,438.14 × 21,868.80
  4. Step 4: Simplify right side
    37,996.62x = 1,146,759,196.03
  5. Step 5: Solve for x
    x = 1,146,759,196.03/37,996.62
  6. Step 6: Final answer
    x = 30,180.56

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.