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Finding the Fourth Proportional to 31,571.20, 43,434.12 and 30,696.40

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Solution

The fourth proportional to 31,571.20, 43,434.12 and 30,696.40 is: 42,230.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,571.20 : 43,434.12 = 30,696.40 : x
  2. Step 2: Convert to fraction form
    31,571.20/43,434.12 = 30,696.40/x
  3. Step 3: Cross multiply
    31,571.20x = 43,434.12 × 30,696.40
  4. Step 4: Simplify right side
    31,571.20x = 1,333,271,121.17
  5. Step 5: Solve for x
    x = 1,333,271,121.17/31,571.20
  6. Step 6: Final answer
    x = 42,230.61

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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.