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Finding the Fourth Proportional to 27,670.75, 41,534.37 and 20,253.17

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Solution

The fourth proportional to 27,670.75, 41,534.37 and 20,253.17 is: 30,400.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,670.75 : 41,534.37 = 20,253.17 : x
  2. Step 2: Convert to fraction form
    27,670.75/41,534.37 = 20,253.17/x
  3. Step 3: Cross multiply
    27,670.75x = 41,534.37 × 20,253.17
  4. Step 4: Simplify right side
    27,670.75x = 841,202,760.29
  5. Step 5: Solve for x
    x = 841,202,760.29/27,670.75
  6. Step 6: Final answer
    x = 30,400.43

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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.