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Finding the Fourth Proportional to 33,143.28, 49,642 and 21,420.96

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Solution

The fourth proportional to 33,143.28, 49,642 and 21,420.96 is: 32,084.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,143.28 : 49,642 = 21,420.96 : x
  2. Step 2: Convert to fraction form
    33,143.28/49,642 = 21,420.96/x
  3. Step 3: Cross multiply
    33,143.28x = 49,642 × 21,420.96
  4. Step 4: Simplify right side
    33,143.28x = 1,063,379,296.32
  5. Step 5: Solve for x
    x = 1,063,379,296.32/33,143.28
  6. Step 6: Final answer
    x = 32,084.31

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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.