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Finding the Fourth Proportional to 54,952.67, 82,299.83 and 26,784.45

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Solution

The fourth proportional to 54,952.67, 82,299.83 and 26,784.45 is: 40,113.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,952.67 : 82,299.83 = 26,784.45 : x
  2. Step 2: Convert to fraction form
    54,952.67/82,299.83 = 26,784.45/x
  3. Step 3: Cross multiply
    54,952.67x = 82,299.83 × 26,784.45
  4. Step 4: Simplify right side
    54,952.67x = 2,204,355,443.63
  5. Step 5: Solve for x
    x = 2,204,355,443.63/54,952.67
  6. Step 6: Final answer
    x = 40,113.71

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Why These Related Problems?

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