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Finding the Fourth Proportional to 31,667.50, 47,469.79 and 17,633.94

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Solution

The fourth proportional to 31,667.50, 47,469.79 and 17,633.94 is: 26,433.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,667.50 : 47,469.79 = 17,633.94 : x
  2. Step 2: Convert to fraction form
    31,667.50/47,469.79 = 17,633.94/x
  3. Step 3: Cross multiply
    31,667.50x = 47,469.79 × 17,633.94
  4. Step 4: Simplify right side
    31,667.50x = 837,079,428.67
  5. Step 5: Solve for x
    x = 837,079,428.67/31,667.50
  6. Step 6: Final answer
    x = 26,433.39

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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.