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Finding the Fourth Proportional to 34,793.40, 52,146.90 and 31,078.20

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Solution

The fourth proportional to 34,793.40, 52,146.90 and 31,078.20 is: 46,578.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,793.40 : 52,146.90 = 31,078.20 : x
  2. Step 2: Convert to fraction form
    34,793.40/52,146.90 = 31,078.20/x
  3. Step 3: Cross multiply
    34,793.40x = 52,146.90 × 31,078.20
  4. Step 4: Simplify right side
    34,793.40x = 1,620,631,787.58
  5. Step 5: Solve for x
    x = 1,620,631,787.58/34,793.40
  6. Step 6: Final answer
    x = 46,578.71

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Why These Related Problems?

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