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Finding the Fourth Proportional to 49,709.20, 74,506.20 and 20,112.40

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Solution

The fourth proportional to 49,709.20, 74,506.20 and 20,112.40 is: 30,145.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,709.20 : 74,506.20 = 20,112.40 : x
  2. Step 2: Convert to fraction form
    49,709.20/74,506.20 = 20,112.40/x
  3. Step 3: Cross multiply
    49,709.20x = 74,506.20 × 20,112.40
  4. Step 4: Simplify right side
    49,709.20x = 1,498,498,496.88
  5. Step 5: Solve for x
    x = 1,498,498,496.88/49,709.20
  6. Step 6: Final answer
    x = 30,145.29

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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.