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Finding the Fourth Proportional to 36,331.40, 54,497.10 and 31,406.60

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Solution

The fourth proportional to 36,331.40, 54,497.10 and 31,406.60 is: 47,109.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,331.40 : 54,497.10 = 31,406.60 : x
  2. Step 2: Convert to fraction form
    36,331.40/54,497.10 = 31,406.60/x
  3. Step 3: Cross multiply
    36,331.40x = 54,497.10 × 31,406.60
  4. Step 4: Simplify right side
    36,331.40x = 1,711,568,620.86
  5. Step 5: Solve for x
    x = 1,711,568,620.86/36,331.40
  6. Step 6: Final answer
    x = 47,109.90

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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.