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Finding the Fourth Proportional to 31,251.40, 43,082.02 and 22,283.30

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Solution

The fourth proportional to 31,251.40, 43,082.02 and 22,283.30 is: 30,718.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,251.40 : 43,082.02 = 22,283.30 : x
  2. Step 2: Convert to fraction form
    31,251.40/43,082.02 = 22,283.30/x
  3. Step 3: Cross multiply
    31,251.40x = 43,082.02 × 22,283.30
  4. Step 4: Simplify right side
    31,251.40x = 960,009,576.27
  5. Step 5: Solve for x
    x = 960,009,576.27/31,251.40
  6. Step 6: Final answer
    x = 30,718.93

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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.