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Finding the Fourth Proportional to 31,725.96, 47,589.05 and 8,033.50

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Solution

The fourth proportional to 31,725.96, 47,589.05 and 8,033.50 is: 12,050.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,725.96 : 47,589.05 = 8,033.50 : x
  2. Step 2: Convert to fraction form
    31,725.96/47,589.05 = 8,033.50/x
  3. Step 3: Cross multiply
    31,725.96x = 47,589.05 × 8,033.50
  4. Step 4: Simplify right side
    31,725.96x = 382,306,570.54
  5. Step 5: Solve for x
    x = 382,306,570.54/31,725.96
  6. Step 6: Final answer
    x = 12,050.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.