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Finding the Fourth Proportional to 36,268, 54,431.25 and 18,742.84

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Solution

The fourth proportional to 36,268, 54,431.25 and 18,742.84 is: 28,129.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,268 : 54,431.25 = 18,742.84 : x
  2. Step 2: Convert to fraction form
    36,268/54,431.25 = 18,742.84/x
  3. Step 3: Cross multiply
    36,268x = 54,431.25 × 18,742.84
  4. Step 4: Simplify right side
    36,268x = 1,020,196,209.75
  5. Step 5: Solve for x
    x = 1,020,196,209.75/36,268
  6. Step 6: Final answer
    x = 28,129.38

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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.