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Finding the Fourth Proportional to 32,286.84, 44,555.80 and 17,946.22

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Solution

The fourth proportional to 32,286.84, 44,555.80 and 17,946.22 is: 24,765.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,286.84 : 44,555.80 = 17,946.22 : x
  2. Step 2: Convert to fraction form
    32,286.84/44,555.80 = 17,946.22/x
  3. Step 3: Cross multiply
    32,286.84x = 44,555.80 × 17,946.22
  4. Step 4: Simplify right side
    32,286.84x = 799,608,189.08
  5. Step 5: Solve for x
    x = 799,608,189.08/32,286.84
  6. Step 6: Final answer
    x = 24,765.76

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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.