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Finding the Fourth Proportional to 49,255.20, 73,915.20 and 28,195.20

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Solution

The fourth proportional to 49,255.20, 73,915.20 and 28,195.20 is: 42,311.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,255.20 : 73,915.20 = 28,195.20 : x
  2. Step 2: Convert to fraction form
    49,255.20/73,915.20 = 28,195.20/x
  3. Step 3: Cross multiply
    49,255.20x = 73,915.20 × 28,195.20
  4. Step 4: Simplify right side
    49,255.20x = 2,084,053,847.04
  5. Step 5: Solve for x
    x = 2,084,053,847.04/49,255.20
  6. Step 6: Final answer
    x = 42,311.35

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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.