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Finding the Fourth Proportional to 31,949.91, 47,924.91 and 9,763.38

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Solution

The fourth proportional to 31,949.91, 47,924.91 and 9,763.38 is: 14,645.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,949.91 : 47,924.91 = 9,763.38 : x
  2. Step 2: Convert to fraction form
    31,949.91/47,924.91 = 9,763.38/x
  3. Step 3: Cross multiply
    31,949.91x = 47,924.91 × 9,763.38
  4. Step 4: Simplify right side
    31,949.91x = 467,909,107.80
  5. Step 5: Solve for x
    x = 467,909,107.80/31,949.91
  6. Step 6: Final answer
    x = 14,645.08

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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.