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Finding the Fourth Proportional to 73,006.72, 100,749.42 and 41,175.74

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Solution

The fourth proportional to 73,006.72, 100,749.42 and 41,175.74 is: 56,822.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,006.72 : 100,749.42 = 41,175.74 : x
  2. Step 2: Convert to fraction form
    73,006.72/100,749.42 = 41,175.74/x
  3. Step 3: Cross multiply
    73,006.72x = 100,749.42 × 41,175.74
  4. Step 4: Simplify right side
    73,006.72x = 4,148,432,174.94
  5. Step 5: Solve for x
    x = 4,148,432,174.94/73,006.72
  6. Step 6: Final answer
    x = 56,822.61

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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.