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Finding the Fourth Proportional to 57,212.70, 85,819.85 and 17,767.32

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Solution

The fourth proportional to 57,212.70, 85,819.85 and 17,767.32 is: 26,651.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,212.70 : 85,819.85 = 17,767.32 : x
  2. Step 2: Convert to fraction form
    57,212.70/85,819.85 = 17,767.32/x
  3. Step 3: Cross multiply
    57,212.70x = 85,819.85 × 17,767.32
  4. Step 4: Simplify right side
    57,212.70x = 1,524,788,648.47
  5. Step 5: Solve for x
    x = 1,524,788,648.47/57,212.70
  6. Step 6: Final answer
    x = 26,651.23

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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.