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Finding the Fourth Proportional to 99,796.76, 137,716.10 and 59,489.74

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Solution

The fourth proportional to 99,796.76, 137,716.10 and 59,489.74 is: 82,093.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,796.76 : 137,716.10 = 59,489.74 : x
  2. Step 2: Convert to fraction form
    99,796.76/137,716.10 = 59,489.74/x
  3. Step 3: Cross multiply
    99,796.76x = 137,716.10 × 59,489.74
  4. Step 4: Simplify right side
    99,796.76x = 8,192,694,982.81
  5. Step 5: Solve for x
    x = 8,192,694,982.81/99,796.76
  6. Step 6: Final answer
    x = 82,093.80

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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.