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Finding the Fourth Proportional to 33,664.65, 50,419.01 and 16,766.88

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Solution

The fourth proportional to 33,664.65, 50,419.01 and 16,766.88 is: 25,111.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,664.65 : 50,419.01 = 16,766.88 : x
  2. Step 2: Convert to fraction form
    33,664.65/50,419.01 = 16,766.88/x
  3. Step 3: Cross multiply
    33,664.65x = 50,419.01 × 16,766.88
  4. Step 4: Simplify right side
    33,664.65x = 845,369,532.31
  5. Step 5: Solve for x
    x = 845,369,532.31/33,664.65
  6. Step 6: Final answer
    x = 25,111.49

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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.