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Finding the Fourth Proportional to 33,825.60, 50,745.60 and 10,454.40

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Solution

The fourth proportional to 33,825.60, 50,745.60 and 10,454.40 is: 15,683.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,825.60 : 50,745.60 = 10,454.40 : x
  2. Step 2: Convert to fraction form
    33,825.60/50,745.60 = 10,454.40/x
  3. Step 3: Cross multiply
    33,825.60x = 50,745.60 × 10,454.40
  4. Step 4: Simplify right side
    33,825.60x = 530,514,800.64
  5. Step 5: Solve for x
    x = 530,514,800.64/33,825.60
  6. Step 6: Final answer
    x = 15,683.83

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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.