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Finding the Fourth Proportional to 106,781.27, 160,173.45 and 27,895.50

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Solution

The fourth proportional to 106,781.27, 160,173.45 and 27,895.50 is: 41,843.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,781.27 : 160,173.45 = 27,895.50 : x
  2. Step 2: Convert to fraction form
    106,781.27/160,173.45 = 27,895.50/x
  3. Step 3: Cross multiply
    106,781.27x = 160,173.45 × 27,895.50
  4. Step 4: Simplify right side
    106,781.27x = 4,468,118,474.48
  5. Step 5: Solve for x
    x = 4,468,118,474.48/106,781.27
  6. Step 6: Final answer
    x = 41,843.66

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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.