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Finding the Fourth Proportional to 32,028.80, 48,004.80 and 16,438.40

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Solution

The fourth proportional to 32,028.80, 48,004.80 and 16,438.40 is: 24,637.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,028.80 : 48,004.80 = 16,438.40 : x
  2. Step 2: Convert to fraction form
    32,028.80/48,004.80 = 16,438.40/x
  3. Step 3: Cross multiply
    32,028.80x = 48,004.80 × 16,438.40
  4. Step 4: Simplify right side
    32,028.80x = 789,122,104.32
  5. Step 5: Solve for x
    x = 789,122,104.32/32,028.80
  6. Step 6: Final answer
    x = 24,637.89

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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.