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Finding the Fourth Proportional to 33,298.96, 49,899 and 13,553.36

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Solution

The fourth proportional to 33,298.96, 49,899 and 13,553.36 is: 20,309.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,298.96 : 49,899 = 13,553.36 : x
  2. Step 2: Convert to fraction form
    33,298.96/49,899 = 13,553.36/x
  3. Step 3: Cross multiply
    33,298.96x = 49,899 × 13,553.36
  4. Step 4: Simplify right side
    33,298.96x = 676,299,110.64
  5. Step 5: Solve for x
    x = 676,299,110.64/33,298.96
  6. Step 6: Final answer
    x = 20,309.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.