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Finding the Fourth Proportional to 68,693.88, 102,865.86 and 33,541.50

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Solution

The fourth proportional to 68,693.88, 102,865.86 and 33,541.50 is: 50,226.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,693.88 : 102,865.86 = 33,541.50 : x
  2. Step 2: Convert to fraction form
    68,693.88/102,865.86 = 33,541.50/x
  3. Step 3: Cross multiply
    68,693.88x = 102,865.86 × 33,541.50
  4. Step 4: Simplify right side
    68,693.88x = 3,450,275,243.19
  5. Step 5: Solve for x
    x = 3,450,275,243.19/68,693.88
  6. Step 6: Final answer
    x = 50,226.82

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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.