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Finding the Fourth Proportional to 33,538.74, 50,316.83 and 14,822.88

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Solution

The fourth proportional to 33,538.74, 50,316.83 and 14,822.88 is: 22,238.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,538.74 : 50,316.83 = 14,822.88 : x
  2. Step 2: Convert to fraction form
    33,538.74/50,316.83 = 14,822.88/x
  3. Step 3: Cross multiply
    33,538.74x = 50,316.83 × 14,822.88
  4. Step 4: Simplify right side
    33,538.74x = 745,840,258.96
  5. Step 5: Solve for x
    x = 745,840,258.96/33,538.74
  6. Step 6: Final answer
    x = 22,238.17

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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.