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Finding the Fourth Proportional to 30,796.39, 46,194.18 and 7,422.63

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Solution

The fourth proportional to 30,796.39, 46,194.18 and 7,422.63 is: 11,133.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,796.39 : 46,194.18 = 7,422.63 : x
  2. Step 2: Convert to fraction form
    30,796.39/46,194.18 = 7,422.63/x
  3. Step 3: Cross multiply
    30,796.39x = 46,194.18 × 7,422.63
  4. Step 4: Simplify right side
    30,796.39x = 342,882,306.29
  5. Step 5: Solve for x
    x = 342,882,306.29/30,796.39
  6. Step 6: Final answer
    x = 11,133.85

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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.