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Finding the Fourth Proportional to 49,295.70, 73,834.20 and 19,698.30

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Solution

The fourth proportional to 49,295.70, 73,834.20 and 19,698.30 is: 29,503.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,295.70 : 73,834.20 = 19,698.30 : x
  2. Step 2: Convert to fraction form
    49,295.70/73,834.20 = 19,698.30/x
  3. Step 3: Cross multiply
    49,295.70x = 73,834.20 × 19,698.30
  4. Step 4: Simplify right side
    49,295.70x = 1,454,408,221.86
  5. Step 5: Solve for x
    x = 1,454,408,221.86/49,295.70
  6. Step 6: Final answer
    x = 29,503.75

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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.