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Finding the Fourth Proportional to 30,825.49, 46,238.24 and 7,451.92

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Solution

The fourth proportional to 30,825.49, 46,238.24 and 7,451.92 is: 11,177.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,825.49 : 46,238.24 = 7,451.92 : x
  2. Step 2: Convert to fraction form
    30,825.49/46,238.24 = 7,451.92/x
  3. Step 3: Cross multiply
    30,825.49x = 46,238.24 × 7,451.92
  4. Step 4: Simplify right side
    30,825.49x = 344,563,665.42
  5. Step 5: Solve for x
    x = 344,563,665.42/30,825.49
  6. Step 6: Final answer
    x = 11,177.88

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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.