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Finding the Fourth Proportional to 33,402.43, 46,102.94 and 20,824.75

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Solution

The fourth proportional to 33,402.43, 46,102.94 and 20,824.75 is: 28,742.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,402.43 : 46,102.94 = 20,824.75 : x
  2. Step 2: Convert to fraction form
    33,402.43/46,102.94 = 20,824.75/x
  3. Step 3: Cross multiply
    33,402.43x = 46,102.94 × 20,824.75
  4. Step 4: Simplify right side
    33,402.43x = 960,082,199.77
  5. Step 5: Solve for x
    x = 960,082,199.77/33,402.43
  6. Step 6: Final answer
    x = 28,742.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.