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Finding the Fourth Proportional to 49,150.82, 73,726.23 and 12,214.82

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Solution

The fourth proportional to 49,150.82, 73,726.23 and 12,214.82 is: 18,322.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,150.82 : 73,726.23 = 12,214.82 : x
  2. Step 2: Convert to fraction form
    49,150.82/73,726.23 = 12,214.82/x
  3. Step 3: Cross multiply
    49,150.82x = 73,726.23 × 12,214.82
  4. Step 4: Simplify right side
    49,150.82x = 900,552,628.73
  5. Step 5: Solve for x
    x = 900,552,628.73/49,150.82
  6. Step 6: Final answer
    x = 18,322.23

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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.