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Finding the Fourth Proportional to 31,388.77, 47,083.24 and 7,696.43

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Solution

The fourth proportional to 31,388.77, 47,083.24 and 7,696.43 is: 11,544.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,388.77 : 47,083.24 = 7,696.43 : x
  2. Step 2: Convert to fraction form
    31,388.77/47,083.24 = 7,696.43/x
  3. Step 3: Cross multiply
    31,388.77x = 47,083.24 × 7,696.43
  4. Step 4: Simplify right side
    31,388.77x = 362,372,860.83
  5. Step 5: Solve for x
    x = 362,372,860.83/31,388.77
  6. Step 6: Final answer
    x = 11,544.67

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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.