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Finding the Fourth Proportional to 33,522.96, 46,263.48 and 20,096.40

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Solution

The fourth proportional to 33,522.96, 46,263.48 and 20,096.40 is: 27,734.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,522.96 : 46,263.48 = 20,096.40 : x
  2. Step 2: Convert to fraction form
    33,522.96/46,263.48 = 20,096.40/x
  3. Step 3: Cross multiply
    33,522.96x = 46,263.48 × 20,096.40
  4. Step 4: Simplify right side
    33,522.96x = 929,729,399.47
  5. Step 5: Solve for x
    x = 929,729,399.47/33,522.96
  6. Step 6: Final answer
    x = 27,734.11

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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.