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Finding the Fourth Proportional to 33,164.88, 49,703.44 and 13,420.08

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Solution

The fourth proportional to 33,164.88, 49,703.44 and 13,420.08 is: 20,112.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,164.88 : 49,703.44 = 13,420.08 : x
  2. Step 2: Convert to fraction form
    33,164.88/49,703.44 = 13,420.08/x
  3. Step 3: Cross multiply
    33,164.88x = 49,703.44 × 13,420.08
  4. Step 4: Simplify right side
    33,164.88x = 667,024,141.08
  5. Step 5: Solve for x
    x = 667,024,141.08/33,164.88
  6. Step 6: Final answer
    x = 20,112.36

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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.