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Finding the Fourth Proportional to 33,760.94, 50,614.00 and 14,054.24

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Solution

The fourth proportional to 33,760.94, 50,614.00 and 14,054.24 is: 21,069.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,760.94 : 50,614.00 = 14,054.24 : x
  2. Step 2: Convert to fraction form
    33,760.94/50,614.00 = 14,054.24/x
  3. Step 3: Cross multiply
    33,760.94x = 50,614.00 × 14,054.24
  4. Step 4: Simplify right side
    33,760.94x = 711,341,394.76
  5. Step 5: Solve for x
    x = 711,341,394.76/33,760.94
  6. Step 6: Final answer
    x = 21,069.96

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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.