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Finding the Fourth Proportional to 33,049.68, 49,581.72 and 13,328.88

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Solution

The fourth proportional to 33,049.68, 49,581.72 and 13,328.88 is: 19,996.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,049.68 : 49,581.72 = 13,328.88 : x
  2. Step 2: Convert to fraction form
    33,049.68/49,581.72 = 13,328.88/x
  3. Step 3: Cross multiply
    33,049.68x = 49,581.72 × 13,328.88
  4. Step 4: Simplify right side
    33,049.68x = 660,868,796.07
  5. Step 5: Solve for x
    x = 660,868,796.07/33,049.68
  6. Step 6: Final answer
    x = 19,996.22

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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.