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Finding the Fourth Proportional to 49,249.50, 73,914.57 and 34,488.06

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Solution

The fourth proportional to 49,249.50, 73,914.57 and 34,488.06 is: 51,760.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,249.50 : 73,914.57 = 34,488.06 : x
  2. Step 2: Convert to fraction form
    49,249.50/73,914.57 = 34,488.06/x
  3. Step 3: Cross multiply
    49,249.50x = 73,914.57 × 34,488.06
  4. Step 4: Simplify right side
    49,249.50x = 2,549,170,125.03
  5. Step 5: Solve for x
    x = 2,549,170,125.03/49,249.50
  6. Step 6: Final answer
    x = 51,760.32

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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.