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Finding the Fourth Proportional to 89,268, 123,189.84 and 49,524

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Solution

The fourth proportional to 89,268, 123,189.84 and 49,524 is: 68,343.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,268 : 123,189.84 = 49,524 : x
  2. Step 2: Convert to fraction form
    89,268/123,189.84 = 49,524/x
  3. Step 3: Cross multiply
    89,268x = 123,189.84 × 49,524
  4. Step 4: Simplify right side
    89,268x = 6,100,853,636.16
  5. Step 5: Solve for x
    x = 6,100,853,636.16/89,268
  6. Step 6: Final answer
    x = 68,343.12

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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.