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Finding the Fourth Proportional to 30,825.98, 46,238.98 and 7,452.42

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Solution

The fourth proportional to 30,825.98, 46,238.98 and 7,452.42 is: 11,178.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,825.98 : 46,238.98 = 7,452.42 : x
  2. Step 2: Convert to fraction form
    30,825.98/46,238.98 = 7,452.42/x
  3. Step 3: Cross multiply
    30,825.98x = 46,238.98 × 7,452.42
  4. Step 4: Simplify right side
    30,825.98x = 344,592,299.33
  5. Step 5: Solve for x
    x = 344,592,299.33/30,825.98
  6. Step 6: Final answer
    x = 11,178.63

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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.