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Finding the Fourth Proportional to 84,181.68, 116,171.38 and 45,941.54

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Solution

The fourth proportional to 84,181.68, 116,171.38 and 45,941.54 is: 63,399.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,181.68 : 116,171.38 = 45,941.54 : x
  2. Step 2: Convert to fraction form
    84,181.68/116,171.38 = 45,941.54/x
  3. Step 3: Cross multiply
    84,181.68x = 116,171.38 × 45,941.54
  4. Step 4: Simplify right side
    84,181.68x = 5,337,092,101.13
  5. Step 5: Solve for x
    x = 5,337,092,101.13/84,181.68
  6. Step 6: Final answer
    x = 63,399.69

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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.