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Finding the Fourth Proportional to 36,982.98, 51,022.17 and 23,551.83

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Solution

The fourth proportional to 36,982.98, 51,022.17 and 23,551.83 is: 32,492.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,982.98 : 51,022.17 = 23,551.83 : x
  2. Step 2: Convert to fraction form
    36,982.98/51,022.17 = 23,551.83/x
  3. Step 3: Cross multiply
    36,982.98x = 51,022.17 × 23,551.83
  4. Step 4: Simplify right side
    36,982.98x = 1,201,665,474.07
  5. Step 5: Solve for x
    x = 1,201,665,474.07/36,982.98
  6. Step 6: Final answer
    x = 32,492.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.