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Finding the Fourth Proportional to 31,999.80, 47,999.70 and 8,628.60

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Solution

The fourth proportional to 31,999.80, 47,999.70 and 8,628.60 is: 12,942.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,999.80 : 47,999.70 = 8,628.60 : x
  2. Step 2: Convert to fraction form
    31,999.80/47,999.70 = 8,628.60/x
  3. Step 3: Cross multiply
    31,999.80x = 47,999.70 × 8,628.60
  4. Step 4: Simplify right side
    31,999.80x = 414,170,211.42
  5. Step 5: Solve for x
    x = 414,170,211.42/31,999.80
  6. Step 6: Final answer
    x = 12,942.90

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1.5x scale

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.