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Finding the Fourth Proportional to 31,952.62, 47,922.33 and 8,573.50

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Solution

The fourth proportional to 31,952.62, 47,922.33 and 8,573.50 is: 12,858.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,952.62 : 47,922.33 = 8,573.50 : x
  2. Step 2: Convert to fraction form
    31,952.62/47,922.33 = 8,573.50/x
  3. Step 3: Cross multiply
    31,952.62x = 47,922.33 × 8,573.50
  4. Step 4: Simplify right side
    31,952.62x = 410,862,096.26
  5. Step 5: Solve for x
    x = 410,862,096.26/31,952.62
  6. Step 6: Final answer
    x = 12,858.48

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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.