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Finding the Fourth Proportional to 92,614.85, 138,942.78 and 29,454.29

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Solution

The fourth proportional to 92,614.85, 138,942.78 and 29,454.29 is: 44,187.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,614.85 : 138,942.78 = 29,454.29 : x
  2. Step 2: Convert to fraction form
    92,614.85/138,942.78 = 29,454.29/x
  3. Step 3: Cross multiply
    92,614.85x = 138,942.78 × 29,454.29
  4. Step 4: Simplify right side
    92,614.85x = 4,092,460,861.89
  5. Step 5: Solve for x
    x = 4,092,460,861.89/92,614.85
  6. Step 6: Final answer
    x = 44,187.96

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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.