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Finding the Fourth Proportional to 57,209.20, 85,813.80 and 33,823.60

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Solution

The fourth proportional to 57,209.20, 85,813.80 and 33,823.60 is: 50,735.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,209.20 : 85,813.80 = 33,823.60 : x
  2. Step 2: Convert to fraction form
    57,209.20/85,813.80 = 33,823.60/x
  3. Step 3: Cross multiply
    57,209.20x = 85,813.80 × 33,823.60
  4. Step 4: Simplify right side
    57,209.20x = 2,902,531,645.68
  5. Step 5: Solve for x
    x = 2,902,531,645.68/57,209.20
  6. Step 6: Final answer
    x = 50,735.40

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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.