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Finding the Fourth Proportional to 33,101.28, 49,651.92 and 13,376.16

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Solution

The fourth proportional to 33,101.28, 49,651.92 and 13,376.16 is: 20,064.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,101.28 : 49,651.92 = 13,376.16 : x
  2. Step 2: Convert to fraction form
    33,101.28/49,651.92 = 13,376.16/x
  3. Step 3: Cross multiply
    33,101.28x = 49,651.92 × 13,376.16
  4. Step 4: Simplify right side
    33,101.28x = 664,152,026.23
  5. Step 5: Solve for x
    x = 664,152,026.23/33,101.28
  6. Step 6: Final answer
    x = 20,064.24

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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.