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Finding the Fourth Proportional to 57,708.56, 86,573.37 and 26,543

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Solution

The fourth proportional to 57,708.56, 86,573.37 and 26,543 is: 39,819.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,708.56 : 86,573.37 = 26,543 : x
  2. Step 2: Convert to fraction form
    57,708.56/86,573.37 = 26,543/x
  3. Step 3: Cross multiply
    57,708.56x = 86,573.37 × 26,543
  4. Step 4: Simplify right side
    57,708.56x = 2,297,916,959.91
  5. Step 5: Solve for x
    x = 2,297,916,959.91/57,708.56
  6. Step 6: Final answer
    x = 39,819.34

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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.