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Finding the Fourth Proportional to 31,669.29, 47,506.68 and 8,295.75

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Solution

The fourth proportional to 31,669.29, 47,506.68 and 8,295.75 is: 12,444.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,669.29 : 47,506.68 = 8,295.75 : x
  2. Step 2: Convert to fraction form
    31,669.29/47,506.68 = 8,295.75/x
  3. Step 3: Cross multiply
    31,669.29x = 47,506.68 × 8,295.75
  4. Step 4: Simplify right side
    31,669.29x = 394,103,540.61
  5. Step 5: Solve for x
    x = 394,103,540.61/31,669.29
  6. Step 6: Final answer
    x = 12,444.34

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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.