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Finding the Fourth Proportional to 32,309, 44,586.20 and 18,161.86

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Solution

The fourth proportional to 32,309, 44,586.20 and 18,161.86 is: 25,063.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,309 : 44,586.20 = 18,161.86 : x
  2. Step 2: Convert to fraction form
    32,309/44,586.20 = 18,161.86/x
  3. Step 3: Cross multiply
    32,309x = 44,586.20 × 18,161.86
  4. Step 4: Simplify right side
    32,309x = 809,768,322.33
  5. Step 5: Solve for x
    x = 809,768,322.33/32,309
  6. Step 6: Final answer
    x = 25,063.24

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.