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Finding the Fourth Proportional to 73,219.96, 109,704.44 and 49,159.20

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Solution

The fourth proportional to 73,219.96, 109,704.44 and 49,159.20 is: 73,654.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,219.96 : 109,704.44 = 49,159.20 : x
  2. Step 2: Convert to fraction form
    73,219.96/109,704.44 = 49,159.20/x
  3. Step 3: Cross multiply
    73,219.96x = 109,704.44 × 49,159.20
  4. Step 4: Simplify right side
    73,219.96x = 5,392,982,506.85
  5. Step 5: Solve for x
    x = 5,392,982,506.85/73,219.96
  6. Step 6: Final answer
    x = 73,654.54

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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.