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Finding the Fourth Proportional to 36,200.32, 49,956.38 and 22,053.17

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Solution

The fourth proportional to 36,200.32, 49,956.38 and 22,053.17 is: 30,433.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,200.32 : 49,956.38 = 22,053.17 : x
  2. Step 2: Convert to fraction form
    36,200.32/49,956.38 = 22,053.17/x
  3. Step 3: Cross multiply
    36,200.32x = 49,956.38 × 22,053.17
  4. Step 4: Simplify right side
    36,200.32x = 1,101,696,180.68
  5. Step 5: Solve for x
    x = 1,101,696,180.68/36,200.32
  6. Step 6: Final answer
    x = 30,433.33

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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.