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Finding the Fourth Proportional to 30,842.33, 42,540.39 and 21,285.83

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Solution

The fourth proportional to 30,842.33, 42,540.39 and 21,285.83 is: 29,359.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,842.33 : 42,540.39 = 21,285.83 : x
  2. Step 2: Convert to fraction form
    30,842.33/42,540.39 = 21,285.83/x
  3. Step 3: Cross multiply
    30,842.33x = 42,540.39 × 21,285.83
  4. Step 4: Simplify right side
    30,842.33x = 905,507,296.97
  5. Step 5: Solve for x
    x = 905,507,296.97/30,842.33
  6. Step 6: Final answer
    x = 29,359.24

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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.