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Finding the Fourth Proportional to 30,791.68, 46,193.28 and 12,325.12

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Solution

The fourth proportional to 30,791.68, 46,193.28 and 12,325.12 is: 18,489.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,791.68 : 46,193.28 = 12,325.12 : x
  2. Step 2: Convert to fraction form
    30,791.68/46,193.28 = 12,325.12/x
  3. Step 3: Cross multiply
    30,791.68x = 46,193.28 × 12,325.12
  4. Step 4: Simplify right side
    30,791.68x = 569,337,719.19
  5. Step 5: Solve for x
    x = 569,337,719.19/30,791.68
  6. Step 6: Final answer
    x = 18,489.99

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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.