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Finding the Fourth Proportional to 33,432.72, 50,104.80 and 27,897

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Solution

The fourth proportional to 33,432.72, 50,104.80 and 27,897 is: 41,808.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,432.72 : 50,104.80 = 27,897 : x
  2. Step 2: Convert to fraction form
    33,432.72/50,104.80 = 27,897/x
  3. Step 3: Cross multiply
    33,432.72x = 50,104.80 × 27,897
  4. Step 4: Simplify right side
    33,432.72x = 1,397,773,605.60
  5. Step 5: Solve for x
    x = 1,397,773,605.60/33,432.72
  6. Step 6: Final answer
    x = 41,808.55

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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.