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Finding the Fourth Proportional to 106,275.50, 159,422.56 and 27,389.60

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Solution

The fourth proportional to 106,275.50, 159,422.56 and 27,389.60 is: 41,086.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,275.50 : 159,422.56 = 27,389.60 : x
  2. Step 2: Convert to fraction form
    106,275.50/159,422.56 = 27,389.60/x
  3. Step 3: Cross multiply
    106,275.50x = 159,422.56 × 27,389.60
  4. Step 4: Simplify right side
    106,275.50x = 4,366,520,149.38
  5. Step 5: Solve for x
    x = 4,366,520,149.38/106,275.50
  6. Step 6: Final answer
    x = 41,086.80

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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.