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Finding the Fourth Proportional to 74,105.82, 102,325 and 68,438.50

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Solution

The fourth proportional to 74,105.82, 102,325 and 68,438.50 is: 94,499.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,105.82 : 102,325 = 68,438.50 : x
  2. Step 2: Convert to fraction form
    74,105.82/102,325 = 68,438.50/x
  3. Step 3: Cross multiply
    74,105.82x = 102,325 × 68,438.50
  4. Step 4: Simplify right side
    74,105.82x = 7,002,969,512.50
  5. Step 5: Solve for x
    x = 7,002,969,512.50/74,105.82
  6. Step 6: Final answer
    x = 94,499.59

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.