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Finding the Fourth Proportional to 36,035.47, 49,728.49 and 20,120.05

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Solution

The fourth proportional to 36,035.47, 49,728.49 and 20,120.05 is: 27,765.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,035.47 : 49,728.49 = 20,120.05 : x
  2. Step 2: Convert to fraction form
    36,035.47/49,728.49 = 20,120.05/x
  3. Step 3: Cross multiply
    36,035.47x = 49,728.49 × 20,120.05
  4. Step 4: Simplify right side
    36,035.47x = 1,000,539,705.22
  5. Step 5: Solve for x
    x = 1,000,539,705.22/36,035.47
  6. Step 6: Final answer
    x = 27,765.41

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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.