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Finding the Fourth Proportional to 57,070.74, 85,620.70 and 33,398.22

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Solution

The fourth proportional to 57,070.74, 85,620.70 and 33,398.22 is: 50,105.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,070.74 : 85,620.70 = 33,398.22 : x
  2. Step 2: Convert to fraction form
    57,070.74/85,620.70 = 33,398.22/x
  3. Step 3: Cross multiply
    57,070.74x = 85,620.70 × 33,398.22
  4. Step 4: Simplify right side
    57,070.74x = 2,859,578,975.15
  5. Step 5: Solve for x
    x = 2,859,578,975.15/57,070.74
  6. Step 6: Final answer
    x = 50,105.87

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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.