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Finding the Fourth Proportional to 33,057.50, 45,543.22 and 22,838.74

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Solution

The fourth proportional to 33,057.50, 45,543.22 and 22,838.74 is: 31,464.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,057.50 : 45,543.22 = 22,838.74 : x
  2. Step 2: Convert to fraction form
    33,057.50/45,543.22 = 22,838.74/x
  3. Step 3: Cross multiply
    33,057.50x = 45,543.22 × 22,838.74
  4. Step 4: Simplify right side
    33,057.50x = 1,040,149,760.34
  5. Step 5: Solve for x
    x = 1,040,149,760.34/33,057.50
  6. Step 6: Final answer
    x = 31,464.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.