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Finding the Fourth Proportional to 33,538.76, 50,261.42 and 25,209.08

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Solution

The fourth proportional to 33,538.76, 50,261.42 and 25,209.08 is: 37,778.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,538.76 : 50,261.42 = 25,209.08 : x
  2. Step 2: Convert to fraction form
    33,538.76/50,261.42 = 25,209.08/x
  3. Step 3: Cross multiply
    33,538.76x = 50,261.42 × 25,209.08
  4. Step 4: Simplify right side
    33,538.76x = 1,267,044,157.69
  5. Step 5: Solve for x
    x = 1,267,044,157.69/33,538.76
  6. Step 6: Final answer
    x = 37,778.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.