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Finding the Fourth Proportional to 33,675.12, 50,514.48 and 12,897

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Solution

The fourth proportional to 33,675.12, 50,514.48 and 12,897 is: 19,346.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,675.12 : 50,514.48 = 12,897 : x
  2. Step 2: Convert to fraction form
    33,675.12/50,514.48 = 12,897/x
  3. Step 3: Cross multiply
    33,675.12x = 50,514.48 × 12,897
  4. Step 4: Simplify right side
    33,675.12x = 651,485,248.56
  5. Step 5: Solve for x
    x = 651,485,248.56/33,675.12
  6. Step 6: Final answer
    x = 19,346.19

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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.