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Finding the Fourth Proportional to 68,164.13, 102,255.50 and 23,784.36

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Solution

The fourth proportional to 68,164.13, 102,255.50 and 23,784.36 is: 35,679.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,164.13 : 102,255.50 = 23,784.36 : x
  2. Step 2: Convert to fraction form
    68,164.13/102,255.50 = 23,784.36/x
  3. Step 3: Cross multiply
    68,164.13x = 102,255.50 × 23,784.36
  4. Step 4: Simplify right side
    68,164.13x = 2,432,081,683.44
  5. Step 5: Solve for x
    x = 2,432,081,683.44/68,164.13
  6. Step 6: Final answer
    x = 35,679.79

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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.