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Finding the Fourth Proportional to 54,847.59, 82,319.37 and 26,788.38

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Solution

The fourth proportional to 54,847.59, 82,319.37 and 26,788.38 is: 40,206.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,847.59 : 82,319.37 = 26,788.38 : x
  2. Step 2: Convert to fraction form
    54,847.59/82,319.37 = 26,788.38/x
  3. Step 3: Cross multiply
    54,847.59x = 82,319.37 × 26,788.38
  4. Step 4: Simplify right side
    54,847.59x = 2,205,202,564.92
  5. Step 5: Solve for x
    x = 2,205,202,564.92/54,847.59
  6. Step 6: Final answer
    x = 40,206.01

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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.