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Finding the Fourth Proportional to 50,643.20, 75,964.80 and 22,563.20

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Solution

The fourth proportional to 50,643.20, 75,964.80 and 22,563.20 is: 33,844.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,643.20 : 75,964.80 = 22,563.20 : x
  2. Step 2: Convert to fraction form
    50,643.20/75,964.80 = 22,563.20/x
  3. Step 3: Cross multiply
    50,643.20x = 75,964.80 × 22,563.20
  4. Step 4: Simplify right side
    50,643.20x = 1,714,008,975.36
  5. Step 5: Solve for x
    x = 1,714,008,975.36/50,643.20
  6. Step 6: Final answer
    x = 33,844.80

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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.