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Finding the Fourth Proportional to 31,047.82, 46,573.41 and 8,859.49

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Solution

The fourth proportional to 31,047.82, 46,573.41 and 8,859.49 is: 13,289.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,047.82 : 46,573.41 = 8,859.49 : x
  2. Step 2: Convert to fraction form
    31,047.82/46,573.41 = 8,859.49/x
  3. Step 3: Cross multiply
    31,047.82x = 46,573.41 × 8,859.49
  4. Step 4: Simplify right side
    31,047.82x = 412,616,427.29
  5. Step 5: Solve for x
    x = 412,616,427.29/31,047.82
  6. Step 6: Final answer
    x = 13,289.71

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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.