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Finding the Fourth Proportional to 36,687.98, 54,998.94 and 13,298

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Solution

The fourth proportional to 36,687.98, 54,998.94 and 13,298 is: 19,935.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,687.98 : 54,998.94 = 13,298 : x
  2. Step 2: Convert to fraction form
    36,687.98/54,998.94 = 13,298/x
  3. Step 3: Cross multiply
    36,687.98x = 54,998.94 × 13,298
  4. Step 4: Simplify right side
    36,687.98x = 731,375,904.12
  5. Step 5: Solve for x
    x = 731,375,904.12/36,687.98
  6. Step 6: Final answer
    x = 19,935.03

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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.