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Finding the Fourth Proportional to 49,209.60, 73,738.80 and 36,670.80

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Solution

The fourth proportional to 49,209.60, 73,738.80 and 36,670.80 is: 54,949.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,209.60 : 73,738.80 = 36,670.80 : x
  2. Step 2: Convert to fraction form
    49,209.60/73,738.80 = 36,670.80/x
  3. Step 3: Cross multiply
    49,209.60x = 73,738.80 × 36,670.80
  4. Step 4: Simplify right side
    49,209.60x = 2,704,060,787.04
  5. Step 5: Solve for x
    x = 2,704,060,787.04/49,209.60
  6. Step 6: Final answer
    x = 54,949.86

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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.