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Finding the Fourth Proportional to 49,765.20, 74,647.80 and 20,167.80

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Solution

The fourth proportional to 49,765.20, 74,647.80 and 20,167.80 is: 30,251.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,765.20 : 74,647.80 = 20,167.80 : x
  2. Step 2: Convert to fraction form
    49,765.20/74,647.80 = 20,167.80/x
  3. Step 3: Cross multiply
    49,765.20x = 74,647.80 × 20,167.80
  4. Step 4: Simplify right side
    49,765.20x = 1,505,481,900.84
  5. Step 5: Solve for x
    x = 1,505,481,900.84/49,765.20
  6. Step 6: Final answer
    x = 30,251.70

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1.5x scale

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.