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Finding the Fourth Proportional to 31,323.68, 46,983.07 and 8,833.46

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Solution

The fourth proportional to 31,323.68, 46,983.07 and 8,833.46 is: 13,249.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,323.68 : 46,983.07 = 8,833.46 : x
  2. Step 2: Convert to fraction form
    31,323.68/46,983.07 = 8,833.46/x
  3. Step 3: Cross multiply
    31,323.68x = 46,983.07 × 8,833.46
  4. Step 4: Simplify right side
    31,323.68x = 415,022,790.44
  5. Step 5: Solve for x
    x = 415,022,790.44/31,323.68
  6. Step 6: Final answer
    x = 13,249.49

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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.