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Finding the Fourth Proportional to 31,460.40, 47,190.60 and 10,683.90

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Solution

The fourth proportional to 31,460.40, 47,190.60 and 10,683.90 is: 16,025.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,460.40 : 47,190.60 = 10,683.90 : x
  2. Step 2: Convert to fraction form
    31,460.40/47,190.60 = 10,683.90/x
  3. Step 3: Cross multiply
    31,460.40x = 47,190.60 × 10,683.90
  4. Step 4: Simplify right side
    31,460.40x = 504,179,651.34
  5. Step 5: Solve for x
    x = 504,179,651.34/31,460.40
  6. Step 6: Final answer
    x = 16,025.85

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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.