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Finding the Fourth Proportional to 74,682, 103,067.64 and 41,154.48

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Solution

The fourth proportional to 74,682, 103,067.64 and 41,154.48 is: 56,796.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,682 : 103,067.64 = 41,154.48 : x
  2. Step 2: Convert to fraction form
    74,682/103,067.64 = 41,154.48/x
  3. Step 3: Cross multiply
    74,682x = 103,067.64 × 41,154.48
  4. Step 4: Simplify right side
    74,682x = 4,241,695,129.03
  5. Step 5: Solve for x
    x = 4,241,695,129.03/74,682
  6. Step 6: Final answer
    x = 56,796.75

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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.