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Finding the Fourth Proportional to 38,511.34, 57,686.50 and 30,974.16

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Solution

The fourth proportional to 38,511.34, 57,686.50 and 30,974.16 is: 46,396.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,511.34 : 57,686.50 = 30,974.16 : x
  2. Step 2: Convert to fraction form
    38,511.34/57,686.50 = 30,974.16/x
  3. Step 3: Cross multiply
    38,511.34x = 57,686.50 × 30,974.16
  4. Step 4: Simplify right side
    38,511.34x = 1,786,790,880.84
  5. Step 5: Solve for x
    x = 1,786,790,880.84/38,511.34
  6. Step 6: Final answer
    x = 46,396.49

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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.