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Finding the Fourth Proportional to 39,784, 54,902.32 and 21,879.13

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Solution

The fourth proportional to 39,784, 54,902.32 and 21,879.13 is: 30,193.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,784 : 54,902.32 = 21,879.13 : x
  2. Step 2: Convert to fraction form
    39,784/54,902.32 = 21,879.13/x
  3. Step 3: Cross multiply
    39,784x = 54,902.32 × 21,879.13
  4. Step 4: Simplify right side
    39,784x = 1,201,214,996.58
  5. Step 5: Solve for x
    x = 1,201,214,996.58/39,784
  6. Step 6: Final answer
    x = 30,193.42

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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.