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Finding the Fourth Proportional to 55,135.20, 82,735.20 and 20,078.40

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Solution

The fourth proportional to 55,135.20, 82,735.20 and 20,078.40 is: 30,129.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,135.20 : 82,735.20 = 20,078.40 : x
  2. Step 2: Convert to fraction form
    55,135.20/82,735.20 = 20,078.40/x
  3. Step 3: Cross multiply
    55,135.20x = 82,735.20 × 20,078.40
  4. Step 4: Simplify right side
    55,135.20x = 1,661,190,439.68
  5. Step 5: Solve for x
    x = 1,661,190,439.68/55,135.20
  6. Step 6: Final answer
    x = 30,129.40

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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.