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Finding the Fourth Proportional to 31,511.52, 47,269.92 and 8,138.40

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Solution

The fourth proportional to 31,511.52, 47,269.92 and 8,138.40 is: 12,208.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,511.52 : 47,269.92 = 8,138.40 : x
  2. Step 2: Convert to fraction form
    31,511.52/47,269.92 = 8,138.40/x
  3. Step 3: Cross multiply
    31,511.52x = 47,269.92 × 8,138.40
  4. Step 4: Simplify right side
    31,511.52x = 384,701,516.93
  5. Step 5: Solve for x
    x = 384,701,516.93/31,511.52
  6. Step 6: Final answer
    x = 12,208.28

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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.