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Finding the Fourth Proportional to 49,751.20, 74,626.80 and 16,919.20

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Solution

The fourth proportional to 49,751.20, 74,626.80 and 16,919.20 is: 25,378.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,751.20 : 74,626.80 = 16,919.20 : x
  2. Step 2: Convert to fraction form
    49,751.20/74,626.80 = 16,919.20/x
  3. Step 3: Cross multiply
    49,751.20x = 74,626.80 × 16,919.20
  4. Step 4: Simplify right side
    49,751.20x = 1,262,625,754.56
  5. Step 5: Solve for x
    x = 1,262,625,754.56/49,751.20
  6. Step 6: Final answer
    x = 25,378.80

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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.