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Finding the Fourth Proportional to 32,206.68, 48,309.21 and 11,161.80

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Solution

The fourth proportional to 32,206.68, 48,309.21 and 11,161.80 is: 16,742.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,206.68 : 48,309.21 = 11,161.80 : x
  2. Step 2: Convert to fraction form
    32,206.68/48,309.21 = 11,161.80/x
  3. Step 3: Cross multiply
    32,206.68x = 48,309.21 × 11,161.80
  4. Step 4: Simplify right side
    32,206.68x = 539,217,740.18
  5. Step 5: Solve for x
    x = 539,217,740.18/32,206.68
  6. Step 6: Final answer
    x = 16,742.42

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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.