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Finding the Fourth Proportional to 35,231.80, 52,855.62 and 11,857.56

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Solution

The fourth proportional to 35,231.80, 52,855.62 and 11,857.56 is: 17,789.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,231.80 : 52,855.62 = 11,857.56 : x
  2. Step 2: Convert to fraction form
    35,231.80/52,855.62 = 11,857.56/x
  3. Step 3: Cross multiply
    35,231.80x = 52,855.62 × 11,857.56
  4. Step 4: Simplify right side
    35,231.80x = 626,738,685.49
  5. Step 5: Solve for x
    x = 626,738,685.49/35,231.80
  6. Step 6: Final answer
    x = 17,789.01

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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.