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Finding the Fourth Proportional to 37,542.27, 51,814.16 and 21,409.62

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Solution

The fourth proportional to 37,542.27, 51,814.16 and 21,409.62 is: 29,548.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,542.27 : 51,814.16 = 21,409.62 : x
  2. Step 2: Convert to fraction form
    37,542.27/51,814.16 = 21,409.62/x
  3. Step 3: Cross multiply
    37,542.27x = 51,814.16 × 21,409.62
  4. Step 4: Simplify right side
    37,542.27x = 1,109,321,194.94
  5. Step 5: Solve for x
    x = 1,109,321,194.94/37,542.27
  6. Step 6: Final answer
    x = 29,548.59

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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.