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Finding the Fourth Proportional to 33,800, 50,700.04 and 9,176

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Solution

The fourth proportional to 33,800, 50,700.04 and 9,176 is: 13,764.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,800 : 50,700.04 = 9,176 : x
  2. Step 2: Convert to fraction form
    33,800/50,700.04 = 9,176/x
  3. Step 3: Cross multiply
    33,800x = 50,700.04 × 9,176
  4. Step 4: Simplify right side
    33,800x = 465,223,567.04
  5. Step 5: Solve for x
    x = 465,223,567.04/33,800
  6. Step 6: Final answer
    x = 13,764.01

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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.