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Finding the Fourth Proportional to 30,346.92, 45,504 and 13,687.47

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Solution

The fourth proportional to 30,346.92, 45,504 and 13,687.47 is: 20,523.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,346.92 : 45,504 = 13,687.47 : x
  2. Step 2: Convert to fraction form
    30,346.92/45,504 = 13,687.47/x
  3. Step 3: Cross multiply
    30,346.92x = 45,504 × 13,687.47
  4. Step 4: Simplify right side
    30,346.92x = 622,834,634.88
  5. Step 5: Solve for x
    x = 622,834,634.88/30,346.92
  6. Step 6: Final answer
    x = 20,523.82

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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.