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Finding the Fourth Proportional to 33,419.88, 50,139.72 and 12,645

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Solution

The fourth proportional to 33,419.88, 50,139.72 and 12,645 is: 18,971.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,419.88 : 50,139.72 = 12,645 : x
  2. Step 2: Convert to fraction form
    33,419.88/50,139.72 = 12,645/x
  3. Step 3: Cross multiply
    33,419.88x = 50,139.72 × 12,645
  4. Step 4: Simplify right side
    33,419.88x = 634,016,759.40
  5. Step 5: Solve for x
    x = 634,016,759.40/33,419.88
  6. Step 6: Final answer
    x = 18,971.25

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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.