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Finding the Fourth Proportional to 30,797.56, 46,196.31 and 7,424

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Solution

The fourth proportional to 30,797.56, 46,196.31 and 7,424 is: 11,135.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,797.56 : 46,196.31 = 7,424 : x
  2. Step 2: Convert to fraction form
    30,797.56/46,196.31 = 7,424/x
  3. Step 3: Cross multiply
    30,797.56x = 46,196.31 × 7,424
  4. Step 4: Simplify right side
    30,797.56x = 342,961,405.44
  5. Step 5: Solve for x
    x = 342,961,405.44/30,797.56
  6. Step 6: Final answer
    x = 11,135.99

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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.