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Finding the Fourth Proportional to 55,676.60, 83,450.10 and 22,380.20

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Solution

The fourth proportional to 55,676.60, 83,450.10 and 22,380.20 is: 33,544.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,676.60 : 83,450.10 = 22,380.20 : x
  2. Step 2: Convert to fraction form
    55,676.60/83,450.10 = 22,380.20/x
  3. Step 3: Cross multiply
    55,676.60x = 83,450.10 × 22,380.20
  4. Step 4: Simplify right side
    55,676.60x = 1,867,629,928.02
  5. Step 5: Solve for x
    x = 1,867,629,928.02/55,676.60
  6. Step 6: Final answer
    x = 33,544.25

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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.