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Finding the Fourth Proportional to 57,442.62, 86,163.96 and 26,256

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Solution

The fourth proportional to 57,442.62, 86,163.96 and 26,256 is: 39,384.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,442.62 : 86,163.96 = 26,256 : x
  2. Step 2: Convert to fraction form
    57,442.62/86,163.96 = 26,256/x
  3. Step 3: Cross multiply
    57,442.62x = 86,163.96 × 26,256
  4. Step 4: Simplify right side
    57,442.62x = 2,262,320,933.76
  5. Step 5: Solve for x
    x = 2,262,320,933.76/57,442.62
  6. Step 6: Final answer
    x = 39,384.01

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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.