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Finding the Fourth Proportional to 54,004.80, 80,834.40 and 49,857.60

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Solution

The fourth proportional to 54,004.80, 80,834.40 and 49,857.60 is: 74,626.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,004.80 : 80,834.40 = 49,857.60 : x
  2. Step 2: Convert to fraction form
    54,004.80/80,834.40 = 49,857.60/x
  3. Step 3: Cross multiply
    54,004.80x = 80,834.40 × 49,857.60
  4. Step 4: Simplify right side
    54,004.80x = 4,030,209,181.44
  5. Step 5: Solve for x
    x = 4,030,209,181.44/54,004.80
  6. Step 6: Final answer
    x = 74,626.87

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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.