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Finding the Fourth Proportional to 36,977, 51,028.74 and 20,210.36

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Solution

The fourth proportional to 36,977, 51,028.74 and 20,210.36 is: 27,890.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,977 : 51,028.74 = 20,210.36 : x
  2. Step 2: Convert to fraction form
    36,977/51,028.74 = 20,210.36/x
  3. Step 3: Cross multiply
    36,977x = 51,028.74 × 20,210.36
  4. Step 4: Simplify right side
    36,977x = 1,031,309,205.75
  5. Step 5: Solve for x
    x = 1,031,309,205.75/36,977
  6. Step 6: Final answer
    x = 27,890.56

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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.