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Finding the Fourth Proportional to 31,170.54, 43,071.57 and 22,202.49

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Solution

The fourth proportional to 31,170.54, 43,071.57 and 22,202.49 is: 30,679.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,170.54 : 43,071.57 = 22,202.49 : x
  2. Step 2: Convert to fraction form
    31,170.54/43,071.57 = 22,202.49/x
  3. Step 3: Cross multiply
    31,170.54x = 43,071.57 × 22,202.49
  4. Step 4: Simplify right side
    31,170.54x = 956,296,102.21
  5. Step 5: Solve for x
    x = 956,296,102.21/31,170.54
  6. Step 6: Final answer
    x = 30,679.48

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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.