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Finding the Fourth Proportional to 31,920.06, 47,880.11 and 8,546.50

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Solution

The fourth proportional to 31,920.06, 47,880.11 and 8,546.50 is: 12,819.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,920.06 : 47,880.11 = 8,546.50 : x
  2. Step 2: Convert to fraction form
    31,920.06/47,880.11 = 8,546.50/x
  3. Step 3: Cross multiply
    31,920.06x = 47,880.11 × 8,546.50
  4. Step 4: Simplify right side
    31,920.06x = 409,207,360.12
  5. Step 5: Solve for x
    x = 409,207,360.12/31,920.06
  6. Step 6: Final answer
    x = 12,819.76

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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.