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Finding the Fourth Proportional to 52,039.46, 78,103.44 and 20,471.60

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Solution

The fourth proportional to 52,039.46, 78,103.44 and 20,471.60 is: 30,724.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,039.46 : 78,103.44 = 20,471.60 : x
  2. Step 2: Convert to fraction form
    52,039.46/78,103.44 = 20,471.60/x
  3. Step 3: Cross multiply
    52,039.46x = 78,103.44 × 20,471.60
  4. Step 4: Simplify right side
    52,039.46x = 1,598,902,577.56
  5. Step 5: Solve for x
    x = 1,598,902,577.56/52,039.46
  6. Step 6: Final answer
    x = 30,724.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.