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Finding the Fourth Proportional to 36,711, 50,665.50 and 21,807

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Solution

The fourth proportional to 36,711, 50,665.50 and 21,807 is: 30,096.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,711 : 50,665.50 = 21,807 : x
  2. Step 2: Convert to fraction form
    36,711/50,665.50 = 21,807/x
  3. Step 3: Cross multiply
    36,711x = 50,665.50 × 21,807
  4. Step 4: Simplify right side
    36,711x = 1,104,862,558.50
  5. Step 5: Solve for x
    x = 1,104,862,558.50/36,711
  6. Step 6: Final answer
    x = 30,096.23

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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.