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Finding the Fourth Proportional to 33,188.56, 49,744.32 and 13,442.56

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Solution

The fourth proportional to 33,188.56, 49,744.32 and 13,442.56 is: 20,148.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,188.56 : 49,744.32 = 13,442.56 : x
  2. Step 2: Convert to fraction form
    33,188.56/49,744.32 = 13,442.56/x
  3. Step 3: Cross multiply
    33,188.56x = 49,744.32 × 13,442.56
  4. Step 4: Simplify right side
    33,188.56x = 668,691,006.26
  5. Step 5: Solve for x
    x = 668,691,006.26/33,188.56
  6. Step 6: Final answer
    x = 20,148.24

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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.