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Finding the Fourth Proportional to 32,027.64, 48,041.46 and 16,435.32

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Solution

The fourth proportional to 32,027.64, 48,041.46 and 16,435.32 is: 24,652.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,027.64 : 48,041.46 = 16,435.32 : x
  2. Step 2: Convert to fraction form
    32,027.64/48,041.46 = 16,435.32/x
  3. Step 3: Cross multiply
    32,027.64x = 48,041.46 × 16,435.32
  4. Step 4: Simplify right side
    32,027.64x = 789,576,768.37
  5. Step 5: Solve for x
    x = 789,576,768.37/32,027.64
  6. Step 6: Final answer
    x = 24,652.98

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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.