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Finding the Fourth Proportional to 31,173.66, 46,751.76 and 8,679.24

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Solution

The fourth proportional to 31,173.66, 46,751.76 and 8,679.24 is: 13,016.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,173.66 : 46,751.76 = 8,679.24 : x
  2. Step 2: Convert to fraction form
    31,173.66/46,751.76 = 8,679.24/x
  3. Step 3: Cross multiply
    31,173.66x = 46,751.76 × 8,679.24
  4. Step 4: Simplify right side
    31,173.66x = 405,769,745.46
  5. Step 5: Solve for x
    x = 405,769,745.46/31,173.66
  6. Step 6: Final answer
    x = 13,016.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.