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Finding the Fourth Proportional to 83,873.64, 115,781.94 and 59,958.84

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Solution

The fourth proportional to 83,873.64, 115,781.94 and 59,958.84 is: 82,769.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,873.64 : 115,781.94 = 59,958.84 : x
  2. Step 2: Convert to fraction form
    83,873.64/115,781.94 = 59,958.84/x
  3. Step 3: Cross multiply
    83,873.64x = 115,781.94 × 59,958.84
  4. Step 4: Simplify right side
    83,873.64x = 6,942,150,815.35
  5. Step 5: Solve for x
    x = 6,942,150,815.35/83,873.64
  6. Step 6: Final answer
    x = 82,769.16

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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.