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Finding the Fourth Proportional to 36,749.70, 50,715.09 and 19,983.06

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Solution

The fourth proportional to 36,749.70, 50,715.09 and 19,983.06 is: 27,576.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,749.70 : 50,715.09 = 19,983.06 : x
  2. Step 2: Convert to fraction form
    36,749.70/50,715.09 = 19,983.06/x
  3. Step 3: Cross multiply
    36,749.70x = 50,715.09 × 19,983.06
  4. Step 4: Simplify right side
    36,749.70x = 1,013,442,686.38
  5. Step 5: Solve for x
    x = 1,013,442,686.38/36,749.70
  6. Step 6: Final answer
    x = 27,576.90

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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.