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Finding the Fourth Proportional to 31,183.63, 46,808.76 and 13,423.09

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Solution

The fourth proportional to 31,183.63, 46,808.76 and 13,423.09 is: 20,148.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,183.63 : 46,808.76 = 13,423.09 : x
  2. Step 2: Convert to fraction form
    31,183.63/46,808.76 = 13,423.09/x
  3. Step 3: Cross multiply
    31,183.63x = 46,808.76 × 13,423.09
  4. Step 4: Simplify right side
    31,183.63x = 628,318,313.25
  5. Step 5: Solve for x
    x = 628,318,313.25/31,183.63
  6. Step 6: Final answer
    x = 20,148.98

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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.