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Finding the Fourth Proportional to 73,241.89, 101,073.32 and 41,410.91

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Solution

The fourth proportional to 73,241.89, 101,073.32 and 41,410.91 is: 57,146.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,241.89 : 101,073.32 = 41,410.91 : x
  2. Step 2: Convert to fraction form
    73,241.89/101,073.32 = 41,410.91/x
  3. Step 3: Cross multiply
    73,241.89x = 101,073.32 × 41,410.91
  4. Step 4: Simplify right side
    73,241.89x = 4,185,538,358.84
  5. Step 5: Solve for x
    x = 4,185,538,358.84/73,241.89
  6. Step 6: Final answer
    x = 57,146.78

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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.