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Finding the Fourth Proportional to 81,509.72, 122,178.27 and 27,422.91

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Solution

The fourth proportional to 81,509.72, 122,178.27 and 27,422.91 is: 41,105.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,509.72 : 122,178.27 = 27,422.91 : x
  2. Step 2: Convert to fraction form
    81,509.72/122,178.27 = 27,422.91/x
  3. Step 3: Cross multiply
    81,509.72x = 122,178.27 × 27,422.91
  4. Step 4: Simplify right side
    81,509.72x = 3,350,483,805.00
  5. Step 5: Solve for x
    x = 3,350,483,805.00/81,509.72
  6. Step 6: Final answer
    x = 41,105.33

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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.