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Finding the Fourth Proportional to 33,429.70, 50,140.23 and 12,650.50

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Solution

The fourth proportional to 33,429.70, 50,140.23 and 12,650.50 is: 18,974.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,429.70 : 50,140.23 = 12,650.50 : x
  2. Step 2: Convert to fraction form
    33,429.70/50,140.23 = 12,650.50/x
  3. Step 3: Cross multiply
    33,429.70x = 50,140.23 × 12,650.50
  4. Step 4: Simplify right side
    33,429.70x = 634,298,979.62
  5. Step 5: Solve for x
    x = 634,298,979.62/33,429.70
  6. Step 6: Final answer
    x = 18,974.12

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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.