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Finding the Fourth Proportional to 31,806.28, 43,890.95 and 17,658.21

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Solution

The fourth proportional to 31,806.28, 43,890.95 and 17,658.21 is: 24,367.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,806.28 : 43,890.95 = 17,658.21 : x
  2. Step 2: Convert to fraction form
    31,806.28/43,890.95 = 17,658.21/x
  3. Step 3: Cross multiply
    31,806.28x = 43,890.95 × 17,658.21
  4. Step 4: Simplify right side
    31,806.28x = 775,035,523.91
  5. Step 5: Solve for x
    x = 775,035,523.91/31,806.28
  6. Step 6: Final answer
    x = 24,367.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.