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Finding the Fourth Proportional to 54,941.09, 82,411.00 and 13,388.09

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Solution

The fourth proportional to 54,941.09, 82,411.00 and 13,388.09 is: 20,081.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,941.09 : 82,411.00 = 13,388.09 : x
  2. Step 2: Convert to fraction form
    54,941.09/82,411.00 = 13,388.09/x
  3. Step 3: Cross multiply
    54,941.09x = 82,411.00 × 13,388.09
  4. Step 4: Simplify right side
    54,941.09x = 1,103,325,405.99
  5. Step 5: Solve for x
    x = 1,103,325,405.99/54,941.09
  6. Step 6: Final answer
    x = 20,081.97

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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.