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Finding the Fourth Proportional to 32,019.64, 48,029.30 and 16,428.60

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Solution

The fourth proportional to 32,019.64, 48,029.30 and 16,428.60 is: 24,642.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,019.64 : 48,029.30 = 16,428.60 : x
  2. Step 2: Convert to fraction form
    32,019.64/48,029.30 = 16,428.60/x
  3. Step 3: Cross multiply
    32,019.64x = 48,029.30 × 16,428.60
  4. Step 4: Simplify right side
    32,019.64x = 789,054,157.98
  5. Step 5: Solve for x
    x = 789,054,157.98/32,019.64
  6. Step 6: Final answer
    x = 24,642.82

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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.