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Finding the Fourth Proportional to 33,006.96, 45,537.12 and 20,256.12

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Solution

The fourth proportional to 33,006.96, 45,537.12 and 20,256.12 is: 27,945.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,006.96 : 45,537.12 = 20,256.12 : x
  2. Step 2: Convert to fraction form
    33,006.96/45,537.12 = 20,256.12/x
  3. Step 3: Cross multiply
    33,006.96x = 45,537.12 × 20,256.12
  4. Step 4: Simplify right side
    33,006.96x = 922,405,367.17
  5. Step 5: Solve for x
    x = 922,405,367.17/33,006.96
  6. Step 6: Final answer
    x = 27,945.78

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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.