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Finding the Fourth Proportional to 27,622.14, 38,133 and 21,559.38

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Solution

The fourth proportional to 27,622.14, 38,133 and 21,559.38 is: 29,763.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,622.14 : 38,133 = 21,559.38 : x
  2. Step 2: Convert to fraction form
    27,622.14/38,133 = 21,559.38/x
  3. Step 3: Cross multiply
    27,622.14x = 38,133 × 21,559.38
  4. Step 4: Simplify right side
    27,622.14x = 822,123,837.54
  5. Step 5: Solve for x
    x = 822,123,837.54/27,622.14
  6. Step 6: Final answer
    x = 29,763.22

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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.