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Finding the Fourth Proportional to 32,856.40, 49,284.60 and 9,163.90

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Solution

The fourth proportional to 32,856.40, 49,284.60 and 9,163.90 is: 13,745.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,856.40 : 49,284.60 = 9,163.90 : x
  2. Step 2: Convert to fraction form
    32,856.40/49,284.60 = 9,163.90/x
  3. Step 3: Cross multiply
    32,856.40x = 49,284.60 × 9,163.90
  4. Step 4: Simplify right side
    32,856.40x = 451,639,145.94
  5. Step 5: Solve for x
    x = 451,639,145.94/32,856.40
  6. Step 6: Final answer
    x = 13,745.85

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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.