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Finding the Fourth Proportional to 54,082.69, 81,114.01 and 14,634.68

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Solution

The fourth proportional to 54,082.69, 81,114.01 and 14,634.68 is: 21,949.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,082.69 : 81,114.01 = 14,634.68 : x
  2. Step 2: Convert to fraction form
    54,082.69/81,114.01 = 14,634.68/x
  3. Step 3: Cross multiply
    54,082.69x = 81,114.01 × 14,634.68
  4. Step 4: Simplify right side
    54,082.69x = 1,187,077,137.71
  5. Step 5: Solve for x
    x = 1,187,077,137.71/54,082.69
  6. Step 6: Final answer
    x = 21,949.30

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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.