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Finding the Fourth Proportional to 92,183.14, 138,294.87 and 29,859.94

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Solution

The fourth proportional to 92,183.14, 138,294.87 and 29,859.94 is: 44,796.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,183.14 : 138,294.87 = 29,859.94 : x
  2. Step 2: Convert to fraction form
    92,183.14/138,294.87 = 29,859.94/x
  3. Step 3: Cross multiply
    92,183.14x = 138,294.87 × 29,859.94
  4. Step 4: Simplify right side
    92,183.14x = 4,129,476,520.51
  5. Step 5: Solve for x
    x = 4,129,476,520.51/92,183.14
  6. Step 6: Final answer
    x = 44,796.44

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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.