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Finding the Fourth Proportional to 31,069.32, 46,604.82 and 8,884.68

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Solution

The fourth proportional to 31,069.32, 46,604.82 and 8,884.68 is: 13,327.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,069.32 : 46,604.82 = 8,884.68 : x
  2. Step 2: Convert to fraction form
    31,069.32/46,604.82 = 8,884.68/x
  3. Step 3: Cross multiply
    31,069.32x = 46,604.82 × 8,884.68
  4. Step 4: Simplify right side
    31,069.32x = 414,068,912.16
  5. Step 5: Solve for x
    x = 414,068,912.16/31,069.32
  6. Step 6: Final answer
    x = 13,327.26

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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.