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Finding the Fourth Proportional to 33,220.54, 49,837.65 and 13,499.06

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Solution

The fourth proportional to 33,220.54, 49,837.65 and 13,499.06 is: 20,251.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,220.54 : 49,837.65 = 13,499.06 : x
  2. Step 2: Convert to fraction form
    33,220.54/49,837.65 = 13,499.06/x
  3. Step 3: Cross multiply
    33,220.54x = 49,837.65 × 13,499.06
  4. Step 4: Simplify right side
    33,220.54x = 672,761,427.61
  5. Step 5: Solve for x
    x = 672,761,427.61/33,220.54
  6. Step 6: Final answer
    x = 20,251.37

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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.