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Finding the Fourth Proportional to 33,570.88, 50,362.32 and 13,838.68

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Solution

The fourth proportional to 33,570.88, 50,362.32 and 13,838.68 is: 20,760.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,570.88 : 50,362.32 = 13,838.68 : x
  2. Step 2: Convert to fraction form
    33,570.88/50,362.32 = 13,838.68/x
  3. Step 3: Cross multiply
    33,570.88x = 50,362.32 × 13,838.68
  4. Step 4: Simplify right side
    33,570.88x = 696,948,030.54
  5. Step 5: Solve for x
    x = 696,948,030.54/33,570.88
  6. Step 6: Final answer
    x = 20,760.49

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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.