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Finding the Fourth Proportional to 31,181.08, 46,766 and 8,989.01

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Solution

The fourth proportional to 31,181.08, 46,766 and 8,989.01 is: 13,481.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,181.08 : 46,766 = 8,989.01 : x
  2. Step 2: Convert to fraction form
    31,181.08/46,766 = 8,989.01/x
  3. Step 3: Cross multiply
    31,181.08x = 46,766 × 8,989.01
  4. Step 4: Simplify right side
    31,181.08x = 420,379,807.83
  5. Step 5: Solve for x
    x = 420,379,807.83/31,181.08
  6. Step 6: Final answer
    x = 13,481.89

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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.