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Finding the Fourth Proportional to 36,977, 51,029.52 and 20,211.08

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Solution

The fourth proportional to 36,977, 51,029.52 and 20,211.08 is: 27,891.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,977 : 51,029.52 = 20,211.08 : x
  2. Step 2: Convert to fraction form
    36,977/51,029.52 = 20,211.08/x
  3. Step 3: Cross multiply
    36,977x = 51,029.52 × 20,211.08
  4. Step 4: Simplify right side
    36,977x = 1,031,361,711.08
  5. Step 5: Solve for x
    x = 1,031,361,711.08/36,977
  6. Step 6: Final answer
    x = 27,891.98

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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.