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Finding the Fourth Proportional to 45,633.80, 68,453.14 and 14,471.48

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Solution

The fourth proportional to 45,633.80, 68,453.14 and 14,471.48 is: 21,707.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,633.80 : 68,453.14 = 14,471.48 : x
  2. Step 2: Convert to fraction form
    45,633.80/68,453.14 = 14,471.48/x
  3. Step 3: Cross multiply
    45,633.80x = 68,453.14 × 14,471.48
  4. Step 4: Simplify right side
    45,633.80x = 990,618,246.45
  5. Step 5: Solve for x
    x = 990,618,246.45/45,633.80
  6. Step 6: Final answer
    x = 21,707.99

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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.