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Finding the Fourth Proportional to 83,879.96, 115,753.46 and 47,588.11

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Solution

The fourth proportional to 83,879.96, 115,753.46 and 47,588.11 is: 65,671.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,879.96 : 115,753.46 = 47,588.11 : x
  2. Step 2: Convert to fraction form
    83,879.96/115,753.46 = 47,588.11/x
  3. Step 3: Cross multiply
    83,879.96x = 115,753.46 × 47,588.11
  4. Step 4: Simplify right side
    83,879.96x = 5,508,487,860.04
  5. Step 5: Solve for x
    x = 5,508,487,860.04/83,879.96
  6. Step 6: Final answer
    x = 65,671.09

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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.