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Finding the Fourth Proportional to 68,194.50, 102,295.38 and 21,451.02

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Solution

The fourth proportional to 68,194.50, 102,295.38 and 21,451.02 is: 32,177.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,194.50 : 102,295.38 = 21,451.02 : x
  2. Step 2: Convert to fraction form
    68,194.50/102,295.38 = 21,451.02/x
  3. Step 3: Cross multiply
    68,194.50x = 102,295.38 × 21,451.02
  4. Step 4: Simplify right side
    68,194.50x = 2,194,340,242.29
  5. Step 5: Solve for x
    x = 2,194,340,242.29/68,194.50
  6. Step 6: Final answer
    x = 32,177.67

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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.