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Finding the Fourth Proportional to 107,033.68, 147,706.24 and 59,286.96

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Solution

The fourth proportional to 107,033.68, 147,706.24 and 59,286.96 is: 81,815.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,033.68 : 147,706.24 = 59,286.96 : x
  2. Step 2: Convert to fraction form
    107,033.68/147,706.24 = 59,286.96/x
  3. Step 3: Cross multiply
    107,033.68x = 147,706.24 × 59,286.96
  4. Step 4: Simplify right side
    107,033.68x = 8,757,053,942.63
  5. Step 5: Solve for x
    x = 8,757,053,942.63/107,033.68
  6. Step 6: Final answer
    x = 81,815.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.