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Finding the Fourth Proportional to 35,729.82, 49,310.73 and 19,817.37

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Solution

The fourth proportional to 35,729.82, 49,310.73 and 19,817.37 is: 27,349.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,729.82 : 49,310.73 = 19,817.37 : x
  2. Step 2: Convert to fraction form
    35,729.82/49,310.73 = 19,817.37/x
  3. Step 3: Cross multiply
    35,729.82x = 49,310.73 × 19,817.37
  4. Step 4: Simplify right side
    35,729.82x = 977,208,981.38
  5. Step 5: Solve for x
    x = 977,208,981.38/35,729.82
  6. Step 6: Final answer
    x = 27,349.96

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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.