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Finding the Fourth Proportional to 37,766.30, 52,118.14 and 20,771.30

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Solution

The fourth proportional to 37,766.30, 52,118.14 and 20,771.30 is: 28,664.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,766.30 : 52,118.14 = 20,771.30 : x
  2. Step 2: Convert to fraction form
    37,766.30/52,118.14 = 20,771.30/x
  3. Step 3: Cross multiply
    37,766.30x = 52,118.14 × 20,771.30
  4. Step 4: Simplify right side
    37,766.30x = 1,082,561,521.38
  5. Step 5: Solve for x
    x = 1,082,561,521.38/37,766.30
  6. Step 6: Final answer
    x = 28,664.75

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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.