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Finding the Fourth Proportional to 49,530.44, 74,315.12 and 21,809

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Solution

The fourth proportional to 49,530.44, 74,315.12 and 21,809 is: 32,722.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,530.44 : 74,315.12 = 21,809 : x
  2. Step 2: Convert to fraction form
    49,530.44/74,315.12 = 21,809/x
  3. Step 3: Cross multiply
    49,530.44x = 74,315.12 × 21,809
  4. Step 4: Simplify right side
    49,530.44x = 1,620,738,452.08
  5. Step 5: Solve for x
    x = 1,620,738,452.08/49,530.44
  6. Step 6: Final answer
    x = 32,722.07

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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.