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Finding the Fourth Proportional to 31,763.38, 47,641.42 and 8,391.64

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Solution

The fourth proportional to 31,763.38, 47,641.42 and 8,391.64 is: 12,586.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,763.38 : 47,641.42 = 8,391.64 : x
  2. Step 2: Convert to fraction form
    31,763.38/47,641.42 = 8,391.64/x
  3. Step 3: Cross multiply
    31,763.38x = 47,641.42 × 8,391.64
  4. Step 4: Simplify right side
    31,763.38x = 399,789,645.73
  5. Step 5: Solve for x
    x = 399,789,645.73/31,763.38
  6. Step 6: Final answer
    x = 12,586.50

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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.