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Finding the Fourth Proportional to 92,367.86, 138,435.31 and 39,716.34

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Solution

The fourth proportional to 92,367.86, 138,435.31 and 39,716.34 is: 59,524.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,367.86 : 138,435.31 = 39,716.34 : x
  2. Step 2: Convert to fraction form
    92,367.86/138,435.31 = 39,716.34/x
  3. Step 3: Cross multiply
    92,367.86x = 138,435.31 × 39,716.34
  4. Step 4: Simplify right side
    92,367.86x = 5,498,143,839.97
  5. Step 5: Solve for x
    x = 5,498,143,839.97/92,367.86
  6. Step 6: Final answer
    x = 59,524.43

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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.