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Finding the Fourth Proportional to 33,419.34, 50,120.78 and 14,704.08

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Solution

The fourth proportional to 33,419.34, 50,120.78 and 14,704.08 is: 22,052.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,419.34 : 50,120.78 = 14,704.08 : x
  2. Step 2: Convert to fraction form
    33,419.34/50,120.78 = 14,704.08/x
  3. Step 3: Cross multiply
    33,419.34x = 50,120.78 × 14,704.08
  4. Step 4: Simplify right side
    33,419.34x = 736,979,958.78
  5. Step 5: Solve for x
    x = 736,979,958.78/33,419.34
  6. Step 6: Final answer
    x = 22,052.50

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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.