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Finding the Fourth Proportional to 37,766.05, 52,117.76 and 20,771.05

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Solution

The fourth proportional to 37,766.05, 52,117.76 and 20,771.05 is: 28,664.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,766.05 : 52,117.76 = 20,771.05 : x
  2. Step 2: Convert to fraction form
    37,766.05/52,117.76 = 20,771.05/x
  3. Step 3: Cross multiply
    37,766.05x = 52,117.76 × 20,771.05
  4. Step 4: Simplify right side
    37,766.05x = 1,082,540,494.99
  5. Step 5: Solve for x
    x = 1,082,540,494.99/37,766.05
  6. Step 6: Final answer
    x = 28,664.38

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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.