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Finding the Fourth Proportional to 74,649.82, 103,016.74 and 41,115.82

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Solution

The fourth proportional to 74,649.82, 103,016.74 and 41,115.82 is: 56,739.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,649.82 : 103,016.74 = 41,115.82 : x
  2. Step 2: Convert to fraction form
    74,649.82/103,016.74 = 41,115.82/x
  3. Step 3: Cross multiply
    74,649.82x = 103,016.74 × 41,115.82
  4. Step 4: Simplify right side
    74,649.82x = 4,235,617,738.83
  5. Step 5: Solve for x
    x = 4,235,617,738.83/74,649.82
  6. Step 6: Final answer
    x = 56,739.83

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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.