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Finding the Fourth Proportional to 33,624, 50,431.48 and 13,899.84

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Solution

The fourth proportional to 33,624, 50,431.48 and 13,899.84 is: 20,847.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,624 : 50,431.48 = 13,899.84 : x
  2. Step 2: Convert to fraction form
    33,624/50,431.48 = 13,899.84/x
  3. Step 3: Cross multiply
    33,624x = 50,431.48 × 13,899.84
  4. Step 4: Simplify right side
    33,624x = 700,989,502.96
  5. Step 5: Solve for x
    x = 700,989,502.96/33,624
  6. Step 6: Final answer
    x = 20,847.89

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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.