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Finding the Fourth Proportional to 33,551.31, 50,333.05 and 13,819.11

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Solution

The fourth proportional to 33,551.31, 50,333.05 and 13,819.11 is: 20,731.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,551.31 : 50,333.05 = 13,819.11 : x
  2. Step 2: Convert to fraction form
    33,551.31/50,333.05 = 13,819.11/x
  3. Step 3: Cross multiply
    33,551.31x = 50,333.05 × 13,819.11
  4. Step 4: Simplify right side
    33,551.31x = 695,557,705.38
  5. Step 5: Solve for x
    x = 695,557,705.38/33,551.31
  6. Step 6: Final answer
    x = 20,731.16

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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.