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Finding the Fourth Proportional to 30,284.67, 41,769.13 and 19,677.75

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Solution

The fourth proportional to 30,284.67, 41,769.13 and 19,677.75 is: 27,139.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,284.67 : 41,769.13 = 19,677.75 : x
  2. Step 2: Convert to fraction form
    30,284.67/41,769.13 = 19,677.75/x
  3. Step 3: Cross multiply
    30,284.67x = 41,769.13 × 19,677.75
  4. Step 4: Simplify right side
    30,284.67x = 821,922,497.86
  5. Step 5: Solve for x
    x = 821,922,497.86/30,284.67
  6. Step 6: Final answer
    x = 27,139.89

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.