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Finding the Fourth Proportional to 92,051.70, 138,076.15 and 41,414.96

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Solution

The fourth proportional to 92,051.70, 138,076.15 and 41,414.96 is: 62,121.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,051.70 : 138,076.15 = 41,414.96 : x
  2. Step 2: Convert to fraction form
    92,051.70/138,076.15 = 41,414.96/x
  3. Step 3: Cross multiply
    92,051.70x = 138,076.15 × 41,414.96
  4. Step 4: Simplify right side
    92,051.70x = 5,718,418,229.20
  5. Step 5: Solve for x
    x = 5,718,418,229.20/92,051.70
  6. Step 6: Final answer
    x = 62,121.81

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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.