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Finding the Fourth Proportional to 106,418.80, 159,635.49 and 27,541

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Solution

The fourth proportional to 106,418.80, 159,635.49 and 27,541 is: 41,313.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,418.80 : 159,635.49 = 27,541 : x
  2. Step 2: Convert to fraction form
    106,418.80/159,635.49 = 27,541/x
  3. Step 3: Cross multiply
    106,418.80x = 159,635.49 × 27,541
  4. Step 4: Simplify right side
    106,418.80x = 4,396,521,030.09
  5. Step 5: Solve for x
    x = 4,396,521,030.09/106,418.80
  6. Step 6: Final answer
    x = 41,313.39

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