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Finding the Fourth Proportional to 36,114.26, 49,840.12 and 20,200.20

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Solution

The fourth proportional to 36,114.26, 49,840.12 and 20,200.20 is: 27,877.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,114.26 : 49,840.12 = 20,200.20 : x
  2. Step 2: Convert to fraction form
    36,114.26/49,840.12 = 20,200.20/x
  3. Step 3: Cross multiply
    36,114.26x = 49,840.12 × 20,200.20
  4. Step 4: Simplify right side
    36,114.26x = 1,006,780,392.02
  5. Step 5: Solve for x
    x = 1,006,780,392.02/36,114.26
  6. Step 6: Final answer
    x = 27,877.64

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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.