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Finding the Fourth Proportional to 32,097.34, 48,149.61 and 8,723.98

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Solution

The fourth proportional to 32,097.34, 48,149.61 and 8,723.98 is: 13,086.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,097.34 : 48,149.61 = 8,723.98 : x
  2. Step 2: Convert to fraction form
    32,097.34/48,149.61 = 8,723.98/x
  3. Step 3: Cross multiply
    32,097.34x = 48,149.61 × 8,723.98
  4. Step 4: Simplify right side
    32,097.34x = 420,056,234.65
  5. Step 5: Solve for x
    x = 420,056,234.65/32,097.34
  6. Step 6: Final answer
    x = 13,086.95

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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.