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Finding the Fourth Proportional to 38,315.46, 57,473.14 and 12,022.26

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Solution

The fourth proportional to 38,315.46, 57,473.14 and 12,022.26 is: 18,033.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,315.46 : 57,473.14 = 12,022.26 : x
  2. Step 2: Convert to fraction form
    38,315.46/57,473.14 = 12,022.26/x
  3. Step 3: Cross multiply
    38,315.46x = 57,473.14 × 12,022.26
  4. Step 4: Simplify right side
    38,315.46x = 690,957,032.10
  5. Step 5: Solve for x
    x = 690,957,032.10/38,315.46
  6. Step 6: Final answer
    x = 18,033.37

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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.