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Finding the Fourth Proportional to 54,901.68, 82,286.10 and 39,286.50

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Solution

The fourth proportional to 54,901.68, 82,286.10 and 39,286.50 is: 58,882.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,901.68 : 82,286.10 = 39,286.50 : x
  2. Step 2: Convert to fraction form
    54,901.68/82,286.10 = 39,286.50/x
  3. Step 3: Cross multiply
    54,901.68x = 82,286.10 × 39,286.50
  4. Step 4: Simplify right side
    54,901.68x = 3,232,732,867.65
  5. Step 5: Solve for x
    x = 3,232,732,867.65/54,901.68
  6. Step 6: Final answer
    x = 58,882.22

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.