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Finding the Fourth Proportional to 32,950.20, 49,358.10 and 20,431.80

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Solution

The fourth proportional to 32,950.20, 49,358.10 and 20,431.80 is: 30,606.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,950.20 : 49,358.10 = 20,431.80 : x
  2. Step 2: Convert to fraction form
    32,950.20/49,358.10 = 20,431.80/x
  3. Step 3: Cross multiply
    32,950.20x = 49,358.10 × 20,431.80
  4. Step 4: Simplify right side
    32,950.20x = 1,008,474,827.58
  5. Step 5: Solve for x
    x = 1,008,474,827.58/32,950.20
  6. Step 6: Final answer
    x = 30,606.03

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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.