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Finding the Fourth Proportional to 31,578.34, 47,339.64 and 12,874.02

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Solution

The fourth proportional to 31,578.34, 47,339.64 and 12,874.02 is: 19,299.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,578.34 : 47,339.64 = 12,874.02 : x
  2. Step 2: Convert to fraction form
    31,578.34/47,339.64 = 12,874.02/x
  3. Step 3: Cross multiply
    31,578.34x = 47,339.64 × 12,874.02
  4. Step 4: Simplify right side
    31,578.34x = 609,451,560.91
  5. Step 5: Solve for x
    x = 609,451,560.91/31,578.34
  6. Step 6: Final answer
    x = 19,299.67

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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.