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Finding the Fourth Proportional to 35,185.82, 52,779 and 10,227.56

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Solution

The fourth proportional to 35,185.82, 52,779 and 10,227.56 is: 15,341.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,185.82 : 52,779 = 10,227.56 : x
  2. Step 2: Convert to fraction form
    35,185.82/52,779 = 10,227.56/x
  3. Step 3: Cross multiply
    35,185.82x = 52,779 × 10,227.56
  4. Step 4: Simplify right side
    35,185.82x = 539,800,389.24
  5. Step 5: Solve for x
    x = 539,800,389.24/35,185.82
  6. Step 6: Final answer
    x = 15,341.42

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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.