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Finding the Fourth Proportional to 32,920.20, 49,380.30 and 16,282.80

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Solution

The fourth proportional to 32,920.20, 49,380.30 and 16,282.80 is: 24,424.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,920.20 : 49,380.30 = 16,282.80 : x
  2. Step 2: Convert to fraction form
    32,920.20/49,380.30 = 16,282.80/x
  3. Step 3: Cross multiply
    32,920.20x = 49,380.30 × 16,282.80
  4. Step 4: Simplify right side
    32,920.20x = 804,049,548.84
  5. Step 5: Solve for x
    x = 804,049,548.84/32,920.20
  6. Step 6: Final answer
    x = 24,424.20

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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.