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Finding the Fourth Proportional to 35,899.30, 49,539.70 and 19,983.41

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Solution

The fourth proportional to 35,899.30, 49,539.70 and 19,983.41 is: 27,576.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,899.30 : 49,539.70 = 19,983.41 : x
  2. Step 2: Convert to fraction form
    35,899.30/49,539.70 = 19,983.41/x
  3. Step 3: Cross multiply
    35,899.30x = 49,539.70 × 19,983.41
  4. Step 4: Simplify right side
    35,899.30x = 989,972,136.38
  5. Step 5: Solve for x
    x = 989,972,136.38/35,899.30
  6. Step 6: Final answer
    x = 27,576.36

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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.