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Finding the Fourth Proportional to 54,116.80, 80,982.96 and 33,050.32

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Solution

The fourth proportional to 54,116.80, 80,982.96 and 33,050.32 is: 49,458.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,116.80 : 80,982.96 = 33,050.32 : x
  2. Step 2: Convert to fraction form
    54,116.80/80,982.96 = 33,050.32/x
  3. Step 3: Cross multiply
    54,116.80x = 80,982.96 × 33,050.32
  4. Step 4: Simplify right side
    54,116.80x = 2,676,512,742.55
  5. Step 5: Solve for x
    x = 2,676,512,742.55/54,116.80
  6. Step 6: Final answer
    x = 49,458.07

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Why These Related Problems?

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