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Finding the Fourth Proportional to 34,115.46, 47,078.31 and 19,007.19

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Solution

The fourth proportional to 34,115.46, 47,078.31 and 19,007.19 is: 26,229.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,115.46 : 47,078.31 = 19,007.19 : x
  2. Step 2: Convert to fraction form
    34,115.46/47,078.31 = 19,007.19/x
  3. Step 3: Cross multiply
    34,115.46x = 47,078.31 × 19,007.19
  4. Step 4: Simplify right side
    34,115.46x = 894,826,454.33
  5. Step 5: Solve for x
    x = 894,826,454.33/34,115.46
  6. Step 6: Final answer
    x = 26,229.36

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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.