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Finding the Fourth Proportional to 33,614.51, 50,438.77 and 13,907.21

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Solution

The fourth proportional to 33,614.51, 50,438.77 and 13,907.21 is: 20,867.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,614.51 : 50,438.77 = 13,907.21 : x
  2. Step 2: Convert to fraction form
    33,614.51/50,438.77 = 13,907.21/x
  3. Step 3: Cross multiply
    33,614.51x = 50,438.77 × 13,907.21
  4. Step 4: Simplify right side
    33,614.51x = 701,462,279.57
  5. Step 5: Solve for x
    x = 701,462,279.57/33,614.51
  6. Step 6: Final answer
    x = 20,867.84

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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.