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Finding the Fourth Proportional to 33,638.56, 50,432.56 and 11,438.08

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Solution

The fourth proportional to 33,638.56, 50,432.56 and 11,438.08 is: 17,148.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,638.56 : 50,432.56 = 11,438.08 : x
  2. Step 2: Convert to fraction form
    33,638.56/50,432.56 = 11,438.08/x
  3. Step 3: Cross multiply
    33,638.56x = 50,432.56 × 11,438.08
  4. Step 4: Simplify right side
    33,638.56x = 576,851,655.88
  5. Step 5: Solve for x
    x = 576,851,655.88/33,638.56
  6. Step 6: Final answer
    x = 17,148.52

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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.