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Finding the Fourth Proportional to 31,514.57, 47,272.76 and 8,141

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Solution

The fourth proportional to 31,514.57, 47,272.76 and 8,141 is: 12,211.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,514.57 : 47,272.76 = 8,141 : x
  2. Step 2: Convert to fraction form
    31,514.57/47,272.76 = 8,141/x
  3. Step 3: Cross multiply
    31,514.57x = 47,272.76 × 8,141
  4. Step 4: Simplify right side
    31,514.57x = 384,847,498.46
  5. Step 5: Solve for x
    x = 384,847,498.46/31,514.57
  6. Step 6: Final answer
    x = 12,211.73

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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.