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Finding the Fourth Proportional to 36,833.96, 50,830.83 and 20,066.96

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Solution

The fourth proportional to 36,833.96, 50,830.83 and 20,066.96 is: 27,692.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,833.96 : 50,830.83 = 20,066.96 : x
  2. Step 2: Convert to fraction form
    36,833.96/50,830.83 = 20,066.96/x
  3. Step 3: Cross multiply
    36,833.96x = 50,830.83 × 20,066.96
  4. Step 4: Simplify right side
    36,833.96x = 1,020,020,232.38
  5. Step 5: Solve for x
    x = 1,020,020,232.38/36,833.96
  6. Step 6: Final answer
    x = 27,692.39

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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.