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Finding the Fourth Proportional to 30,782.39, 46,174.97 and 9,433.54

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Solution

The fourth proportional to 30,782.39, 46,174.97 and 9,433.54 is: 14,150.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,782.39 : 46,174.97 = 9,433.54 : x
  2. Step 2: Convert to fraction form
    30,782.39/46,174.97 = 9,433.54/x
  3. Step 3: Cross multiply
    30,782.39x = 46,174.97 × 9,433.54
  4. Step 4: Simplify right side
    30,782.39x = 435,593,148.45
  5. Step 5: Solve for x
    x = 435,593,148.45/30,782.39
  6. Step 6: Final answer
    x = 14,150.73

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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.