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Finding the Fourth Proportional to 31,083.45, 46,625.12 and 7,709.88

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Solution

The fourth proportional to 31,083.45, 46,625.12 and 7,709.88 is: 11,564.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,083.45 : 46,625.12 = 7,709.88 : x
  2. Step 2: Convert to fraction form
    31,083.45/46,625.12 = 7,709.88/x
  3. Step 3: Cross multiply
    31,083.45x = 46,625.12 × 7,709.88
  4. Step 4: Simplify right side
    31,083.45x = 359,474,245.39
  5. Step 5: Solve for x
    x = 359,474,245.39/31,083.45
  6. Step 6: Final answer
    x = 11,564.81

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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.