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Finding the Fourth Proportional to 53,499.60, 80,191.80 and 20,206.80

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Solution

The fourth proportional to 53,499.60, 80,191.80 and 20,206.80 is: 30,288.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,499.60 : 80,191.80 = 20,206.80 : x
  2. Step 2: Convert to fraction form
    53,499.60/80,191.80 = 20,206.80/x
  3. Step 3: Cross multiply
    53,499.60x = 80,191.80 × 20,206.80
  4. Step 4: Simplify right side
    53,499.60x = 1,620,419,664.24
  5. Step 5: Solve for x
    x = 1,620,419,664.24/53,499.60
  6. Step 6: Final answer
    x = 30,288.44

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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.