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Finding the Fourth Proportional to 83,898.37, 115,753.68 and 47,593.84

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Solution

The fourth proportional to 83,898.37, 115,753.68 and 47,593.84 is: 65,664.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,898.37 : 115,753.68 = 47,593.84 : x
  2. Step 2: Convert to fraction form
    83,898.37/115,753.68 = 47,593.84/x
  3. Step 3: Cross multiply
    83,898.37x = 115,753.68 × 47,593.84
  4. Step 4: Simplify right side
    83,898.37x = 5,509,162,125.33
  5. Step 5: Solve for x
    x = 5,509,162,125.33/83,898.37
  6. Step 6: Final answer
    x = 65,664.71

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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.