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Finding the Fourth Proportional to 33,420, 50,096.64 and 16,729.08

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Solution

The fourth proportional to 33,420, 50,096.64 and 16,729.08 is: 25,076.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,420 : 50,096.64 = 16,729.08 : x
  2. Step 2: Convert to fraction form
    33,420/50,096.64 = 16,729.08/x
  3. Step 3: Cross multiply
    33,420x = 50,096.64 × 16,729.08
  4. Step 4: Simplify right side
    33,420x = 838,070,698.29
  5. Step 5: Solve for x
    x = 838,070,698.29/33,420
  6. Step 6: Final answer
    x = 25,076.92

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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.