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Finding the Fourth Proportional to 73,676.00, 101,667.42 and 41,838.75

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Solution

The fourth proportional to 73,676.00, 101,667.42 and 41,838.75 is: 57,734.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,676.00 : 101,667.42 = 41,838.75 : x
  2. Step 2: Convert to fraction form
    73,676.00/101,667.42 = 41,838.75/x
  3. Step 3: Cross multiply
    73,676.00x = 101,667.42 × 41,838.75
  4. Step 4: Simplify right side
    73,676.00x = 4,253,637,768.53
  5. Step 5: Solve for x
    x = 4,253,637,768.53/73,676.00
  6. Step 6: Final answer
    x = 57,734.37

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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.