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Finding the Fourth Proportional to 36,972.14, 51,021.93 and 20,205.14

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Solution

The fourth proportional to 36,972.14, 51,021.93 and 20,205.14 is: 27,883.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,972.14 : 51,021.93 = 20,205.14 : x
  2. Step 2: Convert to fraction form
    36,972.14/51,021.93 = 20,205.14/x
  3. Step 3: Cross multiply
    36,972.14x = 51,021.93 × 20,205.14
  4. Step 4: Simplify right side
    36,972.14x = 1,030,905,238.72
  5. Step 5: Solve for x
    x = 1,030,905,238.72/36,972.14
  6. Step 6: Final answer
    x = 27,883.30

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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.