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Finding the Fourth Proportional to 33,182, 45,793.32 and 22,006.16

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Solution

The fourth proportional to 33,182, 45,793.32 and 22,006.16 is: 30,369.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,182 : 45,793.32 = 22,006.16 : x
  2. Step 2: Convert to fraction form
    33,182/45,793.32 = 22,006.16/x
  3. Step 3: Cross multiply
    33,182x = 45,793.32 × 22,006.16
  4. Step 4: Simplify right side
    33,182x = 1,007,735,126.85
  5. Step 5: Solve for x
    x = 1,007,735,126.85/33,182
  6. Step 6: Final answer
    x = 30,369.93

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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.