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Finding the Fourth Proportional to 30,838.40, 46,183.04 and 17,650.80

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Solution

The fourth proportional to 30,838.40, 46,183.04 and 17,650.80 is: 26,433.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,838.40 : 46,183.04 = 17,650.80 : x
  2. Step 2: Convert to fraction form
    30,838.40/46,183.04 = 17,650.80/x
  3. Step 3: Cross multiply
    30,838.40x = 46,183.04 × 17,650.80
  4. Step 4: Simplify right side
    30,838.40x = 815,167,602.43
  5. Step 5: Solve for x
    x = 815,167,602.43/30,838.40
  6. Step 6: Final answer
    x = 26,433.52

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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.