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Finding the Fourth Proportional to 31,380.80, 47,078.04 and 15,594.32

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Solution

The fourth proportional to 31,380.80, 47,078.04 and 15,594.32 is: 23,394.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,380.80 : 47,078.04 = 15,594.32 : x
  2. Step 2: Convert to fraction form
    31,380.80/47,078.04 = 15,594.32/x
  3. Step 3: Cross multiply
    31,380.80x = 47,078.04 × 15,594.32
  4. Step 4: Simplify right side
    31,380.80x = 734,150,020.73
  5. Step 5: Solve for x
    x = 734,150,020.73/31,380.80
  6. Step 6: Final answer
    x = 23,394.88

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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.