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Finding the Fourth Proportional to 35,896.80, 49,537.53 and 19,982.64

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Solution

The fourth proportional to 35,896.80, 49,537.53 and 19,982.64 is: 27,576.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,896.80 : 49,537.53 = 19,982.64 : x
  2. Step 2: Convert to fraction form
    35,896.80/49,537.53 = 19,982.64/x
  3. Step 3: Cross multiply
    35,896.80x = 49,537.53 × 19,982.64
  4. Step 4: Simplify right side
    35,896.80x = 989,890,628.48
  5. Step 5: Solve for x
    x = 989,890,628.48/35,896.80
  6. Step 6: Final answer
    x = 27,576.01

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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.