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Finding the Fourth Proportional to 57,121.96, 78,822.62 and 33,251.80

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Solution

The fourth proportional to 57,121.96, 78,822.62 and 33,251.80 is: 45,884.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,121.96 : 78,822.62 = 33,251.80 : x
  2. Step 2: Convert to fraction form
    57,121.96/78,822.62 = 33,251.80/x
  3. Step 3: Cross multiply
    57,121.96x = 78,822.62 × 33,251.80
  4. Step 4: Simplify right side
    57,121.96x = 2,620,993,995.72
  5. Step 5: Solve for x
    x = 2,620,993,995.72/57,121.96
  6. Step 6: Final answer
    x = 45,884.17

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Why These Related Problems?

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