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Finding the Fourth Proportional to 69,408, 95,796 and 39,600

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Solution

The fourth proportional to 69,408, 95,796 and 39,600 is: 54,655.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,408 : 95,796 = 39,600 : x
  2. Step 2: Convert to fraction form
    69,408/95,796 = 39,600/x
  3. Step 3: Cross multiply
    69,408x = 95,796 × 39,600
  4. Step 4: Simplify right side
    69,408x = 3,793,521,600
  5. Step 5: Solve for x
    x = 3,793,521,600/69,408
  6. Step 6: Final answer
    x = 54,655.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.