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Finding the Fourth Proportional to 74,226.14, 102,431.70 and 40,234.50

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Solution

The fourth proportional to 74,226.14, 102,431.70 and 40,234.50 is: 55,523.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,226.14 : 102,431.70 = 40,234.50 : x
  2. Step 2: Convert to fraction form
    74,226.14/102,431.70 = 40,234.50/x
  3. Step 3: Cross multiply
    74,226.14x = 102,431.70 × 40,234.50
  4. Step 4: Simplify right side
    74,226.14x = 4,121,288,233.65
  5. Step 5: Solve for x
    x = 4,121,288,233.65/74,226.14
  6. Step 6: Final answer
    x = 55,523.41

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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.