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Finding the Fourth Proportional to 30,691.38, 46,043.82 and 18,222.78

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Solution

The fourth proportional to 30,691.38, 46,043.82 and 18,222.78 is: 27,338.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,691.38 : 46,043.82 = 18,222.78 : x
  2. Step 2: Convert to fraction form
    30,691.38/46,043.82 = 18,222.78/x
  3. Step 3: Cross multiply
    30,691.38x = 46,043.82 × 18,222.78
  4. Step 4: Simplify right side
    30,691.38x = 839,046,402.22
  5. Step 5: Solve for x
    x = 839,046,402.22/30,691.38
  6. Step 6: Final answer
    x = 27,338.18

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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.