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Finding the Fourth Proportional to 73,813.20, 110,734.20 and 31,693.20

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Solution

The fourth proportional to 73,813.20, 110,734.20 and 31,693.20 is: 47,545.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,813.20 : 110,734.20 = 31,693.20 : x
  2. Step 2: Convert to fraction form
    73,813.20/110,734.20 = 31,693.20/x
  3. Step 3: Cross multiply
    73,813.20x = 110,734.20 × 31,693.20
  4. Step 4: Simplify right side
    73,813.20x = 3,509,521,147.44
  5. Step 5: Solve for x
    x = 3,509,521,147.44/73,813.20
  6. Step 6: Final answer
    x = 47,545.98

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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.