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Finding the Fourth Proportional to 31,619.08, 47,431.32 and 8,245.50

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Solution

The fourth proportional to 31,619.08, 47,431.32 and 8,245.50 is: 12,368.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,619.08 : 47,431.32 = 8,245.50 : x
  2. Step 2: Convert to fraction form
    31,619.08/47,431.32 = 8,245.50/x
  3. Step 3: Cross multiply
    31,619.08x = 47,431.32 × 8,245.50
  4. Step 4: Simplify right side
    31,619.08x = 391,094,949.06
  5. Step 5: Solve for x
    x = 391,094,949.06/31,619.08
  6. Step 6: Final answer
    x = 12,368.95

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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.