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Finding the Fourth Proportional to 73,276.80, 109,828.80 and 38,198.40

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Solution

The fourth proportional to 73,276.80, 109,828.80 and 38,198.40 is: 57,252.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,276.80 : 109,828.80 = 38,198.40 : x
  2. Step 2: Convert to fraction form
    73,276.80/109,828.80 = 38,198.40/x
  3. Step 3: Cross multiply
    73,276.80x = 109,828.80 × 38,198.40
  4. Step 4: Simplify right side
    73,276.80x = 4,195,284,433.92
  5. Step 5: Solve for x
    x = 4,195,284,433.92/73,276.80
  6. Step 6: Final answer
    x = 57,252.56

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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.