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Finding the Fourth Proportional to 54,863.99, 82,265.19 and 17,417.09

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Solution

The fourth proportional to 54,863.99, 82,265.19 and 17,417.09 is: 26,115.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,863.99 : 82,265.19 = 17,417.09 : x
  2. Step 2: Convert to fraction form
    54,863.99/82,265.19 = 17,417.09/x
  3. Step 3: Cross multiply
    54,863.99x = 82,265.19 × 17,417.09
  4. Step 4: Simplify right side
    54,863.99x = 1,432,819,806.77
  5. Step 5: Solve for x
    x = 1,432,819,806.77/54,863.99
  6. Step 6: Final answer
    x = 26,115.85

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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.