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Finding the Fourth Proportional to 39,787, 54,906.12 and 23,021.08

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Solution

The fourth proportional to 39,787, 54,906.12 and 23,021.08 is: 31,769.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,787 : 54,906.12 = 23,021.08 : x
  2. Step 2: Convert to fraction form
    39,787/54,906.12 = 23,021.08/x
  3. Step 3: Cross multiply
    39,787x = 54,906.12 × 23,021.08
  4. Step 4: Simplify right side
    39,787x = 1,263,998,181.01
  5. Step 5: Solve for x
    x = 1,263,998,181.01/39,787
  6. Step 6: Final answer
    x = 31,769.13

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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.