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Finding the Fourth Proportional to 31,387.82, 43,314.12 and 22,450.28

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Solution

The fourth proportional to 31,387.82, 43,314.12 and 22,450.28 is: 30,980.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,387.82 : 43,314.12 = 22,450.28 : x
  2. Step 2: Convert to fraction form
    31,387.82/43,314.12 = 22,450.28/x
  3. Step 3: Cross multiply
    31,387.82x = 43,314.12 × 22,450.28
  4. Step 4: Simplify right side
    31,387.82x = 972,413,905.38
  5. Step 5: Solve for x
    x = 972,413,905.38/31,387.82
  6. Step 6: Final answer
    x = 30,980.62

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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.