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Finding the Fourth Proportional to 32,234.21, 48,351.63 and 9,745.07

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Solution

The fourth proportional to 32,234.21, 48,351.63 and 9,745.07 is: 14,617.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,234.21 : 48,351.63 = 9,745.07 : x
  2. Step 2: Convert to fraction form
    32,234.21/48,351.63 = 9,745.07/x
  3. Step 3: Cross multiply
    32,234.21x = 48,351.63 × 9,745.07
  4. Step 4: Simplify right side
    32,234.21x = 471,189,777.21
  5. Step 5: Solve for x
    x = 471,189,777.21/32,234.21
  6. Step 6: Final answer
    x = 14,617.69

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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.