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Finding the Fourth Proportional to 36,125.92, 49,853.78 and 20,210.38

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Solution

The fourth proportional to 36,125.92, 49,853.78 and 20,210.38 is: 27,890.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,125.92 : 49,853.78 = 20,210.38 : x
  2. Step 2: Convert to fraction form
    36,125.92/49,853.78 = 20,210.38/x
  3. Step 3: Cross multiply
    36,125.92x = 49,853.78 × 20,210.38
  4. Step 4: Simplify right side
    36,125.92x = 1,007,563,838.24
  5. Step 5: Solve for x
    x = 1,007,563,838.24/36,125.92
  6. Step 6: Final answer
    x = 27,890.33

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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.