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Finding the Fourth Proportional to 73,005, 100,761.60 and 41,174.52

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Solution

The fourth proportional to 73,005, 100,761.60 and 41,174.52 is: 56,829.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,005 : 100,761.60 = 41,174.52 : x
  2. Step 2: Convert to fraction form
    73,005/100,761.60 = 41,174.52/x
  3. Step 3: Cross multiply
    73,005x = 100,761.60 × 41,174.52
  4. Step 4: Simplify right side
    73,005x = 4,148,810,514.43
  5. Step 5: Solve for x
    x = 4,148,810,514.43/73,005
  6. Step 6: Final answer
    x = 56,829.13

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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.