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Finding the Fourth Proportional to 84,241.92, 116,242.44 and 47,944.20

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Solution

The fourth proportional to 84,241.92, 116,242.44 and 47,944.20 is: 66,156.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,241.92 : 116,242.44 = 47,944.20 : x
  2. Step 2: Convert to fraction form
    84,241.92/116,242.44 = 47,944.20/x
  3. Step 3: Cross multiply
    84,241.92x = 116,242.44 × 47,944.20
  4. Step 4: Simplify right side
    84,241.92x = 5,573,150,791.85
  5. Step 5: Solve for x
    x = 5,573,150,791.85/84,241.92
  6. Step 6: Final answer
    x = 66,156.50

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1.5x scale

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.