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Finding the Fourth Proportional to 84,755.25, 116,965.89 and 47,029.50

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Solution

The fourth proportional to 84,755.25, 116,965.89 and 47,029.50 is: 64,902.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,755.25 : 116,965.89 = 47,029.50 : x
  2. Step 2: Convert to fraction form
    84,755.25/116,965.89 = 47,029.50/x
  3. Step 3: Cross multiply
    84,755.25x = 116,965.89 × 47,029.50
  4. Step 4: Simplify right side
    84,755.25x = 5,500,847,323.76
  5. Step 5: Solve for x
    x = 5,500,847,323.76/84,755.25
  6. Step 6: Final answer
    x = 64,902.73

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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.