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Finding the Fourth Proportional to 33,102.57, 49,653.81 and 14,380.23

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Solution

The fourth proportional to 33,102.57, 49,653.81 and 14,380.23 is: 21,570.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,102.57 : 49,653.81 = 14,380.23 : x
  2. Step 2: Convert to fraction form
    33,102.57/49,653.81 = 14,380.23/x
  3. Step 3: Cross multiply
    33,102.57x = 49,653.81 × 14,380.23
  4. Step 4: Simplify right side
    33,102.57x = 714,033,208.18
  5. Step 5: Solve for x
    x = 714,033,208.18/33,102.57
  6. Step 6: Final answer
    x = 21,570.33

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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.