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Finding the Fourth Proportional to 31,178.72, 46,771.20 and 8,992.64

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Solution

The fourth proportional to 31,178.72, 46,771.20 and 8,992.64 is: 13,489.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,178.72 : 46,771.20 = 8,992.64 : x
  2. Step 2: Convert to fraction form
    31,178.72/46,771.20 = 8,992.64/x
  3. Step 3: Cross multiply
    31,178.72x = 46,771.20 × 8,992.64
  4. Step 4: Simplify right side
    31,178.72x = 420,596,563.97
  5. Step 5: Solve for x
    x = 420,596,563.97/31,178.72
  6. Step 6: Final answer
    x = 13,489.86

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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.