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Finding the Fourth Proportional to 36,011.66, 49,696.07 and 20,096.20

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Solution

The fourth proportional to 36,011.66, 49,696.07 and 20,096.20 is: 27,732.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,011.66 : 49,696.07 = 20,096.20 : x
  2. Step 2: Convert to fraction form
    36,011.66/49,696.07 = 20,096.20/x
  3. Step 3: Cross multiply
    36,011.66x = 49,696.07 × 20,096.20
  4. Step 4: Simplify right side
    36,011.66x = 998,702,161.93
  5. Step 5: Solve for x
    x = 998,702,161.93/36,011.66
  6. Step 6: Final answer
    x = 27,732.74

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.