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Finding the Fourth Proportional to 31,548.96, 47,323.44 and 8,173.44

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Solution

The fourth proportional to 31,548.96, 47,323.44 and 8,173.44 is: 12,260.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,548.96 : 47,323.44 = 8,173.44 : x
  2. Step 2: Convert to fraction form
    31,548.96/47,323.44 = 8,173.44/x
  3. Step 3: Cross multiply
    31,548.96x = 47,323.44 × 8,173.44
  4. Step 4: Simplify right side
    31,548.96x = 386,795,297.43
  5. Step 5: Solve for x
    x = 386,795,297.43/31,548.96
  6. Step 6: Final answer
    x = 12,260.16

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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.