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Finding the Fourth Proportional to 36,200.81, 49,959.09 and 20,290.38

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Solution

The fourth proportional to 36,200.81, 49,959.09 and 20,290.38 is: 28,001.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,200.81 : 49,959.09 = 20,290.38 : x
  2. Step 2: Convert to fraction form
    36,200.81/49,959.09 = 20,290.38/x
  3. Step 3: Cross multiply
    36,200.81x = 49,959.09 × 20,290.38
  4. Step 4: Simplify right side
    36,200.81x = 1,013,688,920.55
  5. Step 5: Solve for x
    x = 1,013,688,920.55/36,200.81
  6. Step 6: Final answer
    x = 28,001.83

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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.