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Finding the Fourth Proportional to 73,678.52, 101,676.36 and 41,847.33

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Solution

The fourth proportional to 73,678.52, 101,676.36 and 41,847.33 is: 57,749.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,678.52 : 101,676.36 = 41,847.33 : x
  2. Step 2: Convert to fraction form
    73,678.52/101,676.36 = 41,847.33/x
  3. Step 3: Cross multiply
    73,678.52x = 101,676.36 × 41,847.33
  4. Step 4: Simplify right side
    73,678.52x = 4,254,884,190.12
  5. Step 5: Solve for x
    x = 4,254,884,190.12/73,678.52
  6. Step 6: Final answer
    x = 57,749.32

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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.