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Finding the Fourth Proportional to 68,123.82, 102,195.36 and 23,744.10

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Solution

The fourth proportional to 68,123.82, 102,195.36 and 23,744.10 is: 35,619.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,123.82 : 102,195.36 = 23,744.10 : x
  2. Step 2: Convert to fraction form
    68,123.82/102,195.36 = 23,744.10/x
  3. Step 3: Cross multiply
    68,123.82x = 102,195.36 × 23,744.10
  4. Step 4: Simplify right side
    68,123.82x = 2,426,536,847.38
  5. Step 5: Solve for x
    x = 2,426,536,847.38/68,123.82
  6. Step 6: Final answer
    x = 35,619.51

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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.