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Finding the Fourth Proportional to 53,502.60, 80,196.30 and 20,209.80

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Solution

The fourth proportional to 53,502.60, 80,196.30 and 20,209.80 is: 30,292.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,502.60 : 80,196.30 = 20,209.80 : x
  2. Step 2: Convert to fraction form
    53,502.60/80,196.30 = 20,209.80/x
  3. Step 3: Cross multiply
    53,502.60x = 80,196.30 × 20,209.80
  4. Step 4: Simplify right side
    53,502.60x = 1,620,751,183.74
  5. Step 5: Solve for x
    x = 1,620,751,183.74/53,502.60
  6. Step 6: Final answer
    x = 30,292.94

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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.