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Finding the Fourth Proportional to 31,494.16, 47,233.94 and 20,215.46

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Solution

The fourth proportional to 31,494.16, 47,233.94 and 20,215.46 is: 30,318.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,494.16 : 47,233.94 = 20,215.46 : x
  2. Step 2: Convert to fraction form
    31,494.16/47,233.94 = 20,215.46/x
  3. Step 3: Cross multiply
    31,494.16x = 47,233.94 × 20,215.46
  4. Step 4: Simplify right side
    31,494.16x = 954,855,993.34
  5. Step 5: Solve for x
    x = 954,855,993.34/31,494.16
  6. Step 6: Final answer
    x = 30,318.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.