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Finding the Fourth Proportional to 35,231.82, 52,855.53 and 11,857.50

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Solution

The fourth proportional to 35,231.82, 52,855.53 and 11,857.50 is: 17,788.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,231.82 : 52,855.53 = 11,857.50 : x
  2. Step 2: Convert to fraction form
    35,231.82/52,855.53 = 11,857.50/x
  3. Step 3: Cross multiply
    35,231.82x = 52,855.53 × 11,857.50
  4. Step 4: Simplify right side
    35,231.82x = 626,734,446.98
  5. Step 5: Solve for x
    x = 626,734,446.98/35,231.82
  6. Step 6: Final answer
    x = 17,788.88

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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.