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Finding the Fourth Proportional to 57,311.80, 85,843.05 and 35,057.86

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Solution

The fourth proportional to 57,311.80, 85,843.05 and 35,057.86 is: 52,510.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,311.80 : 85,843.05 = 35,057.86 : x
  2. Step 2: Convert to fraction form
    57,311.80/85,843.05 = 35,057.86/x
  3. Step 3: Cross multiply
    57,311.80x = 85,843.05 × 35,057.86
  4. Step 4: Simplify right side
    57,311.80x = 3,009,473,628.87
  5. Step 5: Solve for x
    x = 3,009,473,628.87/57,311.80
  6. Step 6: Final answer
    x = 52,510.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.