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Finding the Fourth Proportional to 85,241.28, 117,631.68 and 47,514.56

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Solution

The fourth proportional to 85,241.28, 117,631.68 and 47,514.56 is: 65,569.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,241.28 : 117,631.68 = 47,514.56 : x
  2. Step 2: Convert to fraction form
    85,241.28/117,631.68 = 47,514.56/x
  3. Step 3: Cross multiply
    85,241.28x = 117,631.68 × 47,514.56
  4. Step 4: Simplify right side
    85,241.28x = 5,589,217,517.26
  5. Step 5: Solve for x
    x = 5,589,217,517.26/85,241.28
  6. Step 6: Final answer
    x = 65,569.38

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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.