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Finding the Fourth Proportional to 33,166.45, 49,742.29 and 20,000.71

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Solution

The fourth proportional to 33,166.45, 49,742.29 and 20,000.71 is: 29,996.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,166.45 : 49,742.29 = 20,000.71 : x
  2. Step 2: Convert to fraction form
    33,166.45/49,742.29 = 20,000.71/x
  3. Step 3: Cross multiply
    33,166.45x = 49,742.29 × 20,000.71
  4. Step 4: Simplify right side
    33,166.45x = 994,881,117.03
  5. Step 5: Solve for x
    x = 994,881,117.03/33,166.45
  6. Step 6: Final answer
    x = 29,996.61

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.