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Finding the Fourth Proportional to 33,838.62, 50,763.33 and 11,646.51

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Solution

The fourth proportional to 33,838.62, 50,763.33 and 11,646.51 is: 17,471.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,838.62 : 50,763.33 = 11,646.51 : x
  2. Step 2: Convert to fraction form
    33,838.62/50,763.33 = 11,646.51/x
  3. Step 3: Cross multiply
    33,838.62x = 50,763.33 × 11,646.51
  4. Step 4: Simplify right side
    33,838.62x = 591,215,630.48
  5. Step 5: Solve for x
    x = 591,215,630.48/33,838.62
  6. Step 6: Final answer
    x = 17,471.62

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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.