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Finding the Fourth Proportional to 31,462.96, 47,194.88 and 8,089.44

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Solution

The fourth proportional to 31,462.96, 47,194.88 and 8,089.44 is: 12,134.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,462.96 : 47,194.88 = 8,089.44 : x
  2. Step 2: Convert to fraction form
    31,462.96/47,194.88 = 8,089.44/x
  3. Step 3: Cross multiply
    31,462.96x = 47,194.88 × 8,089.44
  4. Step 4: Simplify right side
    31,462.96x = 381,780,150.07
  5. Step 5: Solve for x
    x = 381,780,150.07/31,462.96
  6. Step 6: Final answer
    x = 12,134.27

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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.