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Finding the Fourth Proportional to 74,649.41, 103,016.19 and 41,115.41

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Solution

The fourth proportional to 74,649.41, 103,016.19 and 41,115.41 is: 56,739.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,649.41 : 103,016.19 = 41,115.41 : x
  2. Step 2: Convert to fraction form
    74,649.41/103,016.19 = 41,115.41/x
  3. Step 3: Cross multiply
    74,649.41x = 103,016.19 × 41,115.41
  4. Step 4: Simplify right side
    74,649.41x = 4,235,552,167.83
  5. Step 5: Solve for x
    x = 4,235,552,167.83/74,649.41
  6. Step 6: Final answer
    x = 56,739.26

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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.