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Finding the Fourth Proportional to 33,614.57, 50,421.85 and 10,241

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Solution

The fourth proportional to 33,614.57, 50,421.85 and 10,241 is: 15,361.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,614.57 : 50,421.85 = 10,241 : x
  2. Step 2: Convert to fraction form
    33,614.57/50,421.85 = 10,241/x
  3. Step 3: Cross multiply
    33,614.57x = 50,421.85 × 10,241
  4. Step 4: Simplify right side
    33,614.57x = 516,370,165.85
  5. Step 5: Solve for x
    x = 516,370,165.85/33,614.57
  6. Step 6: Final answer
    x = 15,361.50

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1.5x scale

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.