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Finding the Fourth Proportional to 36,976.38, 51,028.67 and 20,210.46

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Solution

The fourth proportional to 36,976.38, 51,028.67 and 20,210.46 is: 27,891.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,976.38 : 51,028.67 = 20,210.46 : x
  2. Step 2: Convert to fraction form
    36,976.38/51,028.67 = 20,210.46/x
  3. Step 3: Cross multiply
    36,976.38x = 51,028.67 × 20,210.46
  4. Step 4: Simplify right side
    36,976.38x = 1,031,312,893.89
  5. Step 5: Solve for x
    x = 1,031,312,893.89/36,976.38
  6. Step 6: Final answer
    x = 27,891.13

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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.