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Finding the Fourth Proportional to 31,872.62, 47,808.74 and 8,180.12

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Solution

The fourth proportional to 31,872.62, 47,808.74 and 8,180.12 is: 12,270.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,872.62 : 47,808.74 = 8,180.12 : x
  2. Step 2: Convert to fraction form
    31,872.62/47,808.74 = 8,180.12/x
  3. Step 3: Cross multiply
    31,872.62x = 47,808.74 × 8,180.12
  4. Step 4: Simplify right side
    31,872.62x = 391,080,950.30
  5. Step 5: Solve for x
    x = 391,080,950.30/31,872.62
  6. Step 6: Final answer
    x = 12,270.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.