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Finding the Fourth Proportional to 31,951.62, 47,920.83 and 8,572.50

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Solution

The fourth proportional to 31,951.62, 47,920.83 and 8,572.50 is: 12,856.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,951.62 : 47,920.83 = 8,572.50 : x
  2. Step 2: Convert to fraction form
    31,951.62/47,920.83 = 8,572.50/x
  3. Step 3: Cross multiply
    31,951.62x = 47,920.83 × 8,572.50
  4. Step 4: Simplify right side
    31,951.62x = 410,801,315.18
  5. Step 5: Solve for x
    x = 410,801,315.18/31,951.62
  6. Step 6: Final answer
    x = 12,856.98

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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.