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Finding the Fourth Proportional to 36,203.81, 49,963.23 and 20,293.38

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Solution

The fourth proportional to 36,203.81, 49,963.23 and 20,293.38 is: 28,005.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,203.81 : 49,963.23 = 20,293.38 : x
  2. Step 2: Convert to fraction form
    36,203.81/49,963.23 = 20,293.38/x
  3. Step 3: Cross multiply
    36,203.81x = 49,963.23 × 20,293.38
  4. Step 4: Simplify right side
    36,203.81x = 1,013,922,812.42
  5. Step 5: Solve for x
    x = 1,013,922,812.42/36,203.81
  6. Step 6: Final answer
    x = 28,005.97

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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.