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Finding the Fourth Proportional to 33,321.68, 49,990.43 and 9,947.51

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Solution

The fourth proportional to 33,321.68, 49,990.43 and 9,947.51 is: 14,923.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,321.68 : 49,990.43 = 9,947.51 : x
  2. Step 2: Convert to fraction form
    33,321.68/49,990.43 = 9,947.51/x
  3. Step 3: Cross multiply
    33,321.68x = 49,990.43 × 9,947.51
  4. Step 4: Simplify right side
    33,321.68x = 497,280,302.33
  5. Step 5: Solve for x
    x = 497,280,302.33/33,321.68
  6. Step 6: Final answer
    x = 14,923.63

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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.