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Finding the Fourth Proportional to 36,114.69, 49,840.82 and 20,200.62

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Solution

The fourth proportional to 36,114.69, 49,840.82 and 20,200.62 is: 27,878.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,114.69 : 49,840.82 = 20,200.62 : x
  2. Step 2: Convert to fraction form
    36,114.69/49,840.82 = 20,200.62/x
  3. Step 3: Cross multiply
    36,114.69x = 49,840.82 × 20,200.62
  4. Step 4: Simplify right side
    36,114.69x = 1,006,815,465.31
  5. Step 5: Solve for x
    x = 1,006,815,465.31/36,114.69
  6. Step 6: Final answer
    x = 27,878.28

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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.