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Finding the Fourth Proportional to 33,800.50, 50,700.76 and 9,176.50

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Solution

The fourth proportional to 33,800.50, 50,700.76 and 9,176.50 is: 13,764.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,800.50 : 50,700.76 = 9,176.50 : x
  2. Step 2: Convert to fraction form
    33,800.50/50,700.76 = 9,176.50/x
  3. Step 3: Cross multiply
    33,800.50x = 50,700.76 × 9,176.50
  4. Step 4: Simplify right side
    33,800.50x = 465,255,524.14
  5. Step 5: Solve for x
    x = 465,255,524.14/33,800.50
  6. Step 6: Final answer
    x = 13,764.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.