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Finding the Fourth Proportional to 33,022.80, 49,541.40 and 10,832.40

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Solution

The fourth proportional to 33,022.80, 49,541.40 and 10,832.40 is: 16,250.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,022.80 : 49,541.40 = 10,832.40 : x
  2. Step 2: Convert to fraction form
    33,022.80/49,541.40 = 10,832.40/x
  3. Step 3: Cross multiply
    33,022.80x = 49,541.40 × 10,832.40
  4. Step 4: Simplify right side
    33,022.80x = 536,652,261.36
  5. Step 5: Solve for x
    x = 536,652,261.36/33,022.80
  6. Step 6: Final answer
    x = 16,250.96

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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.