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Finding the Fourth Proportional to 33,188.56, 49,790.82 and 9,496.48

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Solution

The fourth proportional to 33,188.56, 49,790.82 and 9,496.48 is: 14,247.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,188.56 : 49,790.82 = 9,496.48 : x
  2. Step 2: Convert to fraction form
    33,188.56/49,790.82 = 9,496.48/x
  3. Step 3: Cross multiply
    33,188.56x = 49,790.82 × 9,496.48
  4. Step 4: Simplify right side
    33,188.56x = 472,837,526.31
  5. Step 5: Solve for x
    x = 472,837,526.31/33,188.56
  6. Step 6: Final answer
    x = 14,247.00

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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.