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Finding the Fourth Proportional to 32,546.21, 48,745.50 and 20,699.96

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Solution

The fourth proportional to 32,546.21, 48,745.50 and 20,699.96 is: 31,002.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,546.21 : 48,745.50 = 20,699.96 : x
  2. Step 2: Convert to fraction form
    32,546.21/48,745.50 = 20,699.96/x
  3. Step 3: Cross multiply
    32,546.21x = 48,745.50 × 20,699.96
  4. Step 4: Simplify right side
    32,546.21x = 1,009,029,578.83
  5. Step 5: Solve for x
    x = 1,009,029,578.83/32,546.21
  6. Step 6: Final answer
    x = 31,002.99

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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.