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Finding the Fourth Proportional to 27,673.75, 41,538.87 and 20,256.17

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Solution

The fourth proportional to 27,673.75, 41,538.87 and 20,256.17 is: 30,404.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,673.75 : 41,538.87 = 20,256.17 : x
  2. Step 2: Convert to fraction form
    27,673.75/41,538.87 = 20,256.17/x
  3. Step 3: Cross multiply
    27,673.75x = 41,538.87 × 20,256.17
  4. Step 4: Simplify right side
    27,673.75x = 841,418,412.33
  5. Step 5: Solve for x
    x = 841,418,412.33/27,673.75
  6. Step 6: Final answer
    x = 30,404.93

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.