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Finding the Fourth Proportional to 31,516.32, 47,274.48 and 8,144.64

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Solution

The fourth proportional to 31,516.32, 47,274.48 and 8,144.64 is: 12,216.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,516.32 : 47,274.48 = 8,144.64 : x
  2. Step 2: Convert to fraction form
    31,516.32/47,274.48 = 8,144.64/x
  3. Step 3: Cross multiply
    31,516.32x = 47,274.48 × 8,144.64
  4. Step 4: Simplify right side
    31,516.32x = 385,033,620.79
  5. Step 5: Solve for x
    x = 385,033,620.79/31,516.32
  6. Step 6: Final answer
    x = 12,216.96

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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.