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Finding the Fourth Proportional to 36,537.56, 50,421.84 and 19,770.56

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Solution

The fourth proportional to 36,537.56, 50,421.84 and 19,770.56 is: 27,283.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,537.56 : 50,421.84 = 19,770.56 : x
  2. Step 2: Convert to fraction form
    36,537.56/50,421.84 = 19,770.56/x
  3. Step 3: Cross multiply
    36,537.56x = 50,421.84 × 19,770.56
  4. Step 4: Simplify right side
    36,537.56x = 996,868,013.03
  5. Step 5: Solve for x
    x = 996,868,013.03/36,537.56
  6. Step 6: Final answer
    x = 27,283.38

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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.